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Additional Lewis Lab Publications

  Journal Articles
  1. Harrington, P.D., Lewis, M.A. A next generation approach to calculate source-sink dynamics in marine metapopulations. In press at Bulletin of Mathematical Biology.
  2. Jin, Y., Huang, Q., Steffler, P.M., Lewis, M.A. Population persistence of a benthic-drift model in a depth-averaged river. In press at AIMS Mathematics.
  3. Marculis, N.G., Lewis, M.A. Inside dynamics of integrodifference equations with mutations. In press at Bulletin of Mathematical Biology.
  4. Lewis, M. (2019) Feasting yeast and the sweetness of diversity. Proceedings of the National Academy of Sciences doi.org/10.1073/pnas.1917141116 (epub)
  5. Schakau, V., Hilker, F.M., Lewis, M.A. (2019) Fish disease dynamics in changing rivers: Salmonid Ceratomyxosis in the Klamath River. Ecological Complexity 40(A): 100776 (epub)
  6. Nagy-Reis, M.B., Lewis, M.A., Jensen, W.F., Boyce, M.S. (2019) Landscape ecology of white-tailed deer in North Dakota: Conservation Reserve Program has an essential role in ungulate management at multiple scales, Journal of Environmental Management. 248:109299 (epub)
  7. Reimer, J., Mangel, M., Derocher, A., Lewis, M.A. (2019) Matrix methods for stochastic programming in ecology and evolutionary biology, Methods in Ecology and Evolution 10: 1952-1961
  8. Potts, J., Lewis, M.A. (2019) Spatial memory and taxis-driven pattern formation in model ecosystems. Bulletin of Mathematical Biology 81(7): 2725-2747
  9. Peacock, S.J., Krkošek, M. Bateman, A.W., Lewis, M.A. (2019) Estimation of spatiotemporal transmission dynamics and analysis of management scenarios for sea lice of farmed and wild salmon. In Press at Canadian Journal of Fisheries and Aquatic Science
  10. Yang, Z., Dai, Q., Foss-Grant, A., Gurarie, E., Lewis, M.A., Fagan, W.F. (2019) Movement and activity of reintroduced giant pandas. Ursus 29(2): 163-174
  11. Marculis, N., Lui, R., Garnier, J., Lewis, M.A. (2019) Inside Dynamics for Stage-Structured Integrodifference Equations. Journal of Mathematical Biology https://doi.org/10.1007/s00285-019-01378-9 (epub)
  12. Reimer, J., Mangel, M., Derocher, A.E., Lewis, M.A. (2019) Modelling optimal responses and fitness consequences in a changing Arctic. Global Change Biology 25(10): 3450-3461
  13. Lewis, M.A., Shuai, Z., van den Driessche, P. (2019) A general theory for target reproduction numbers with applications to ecology and epidemiology. Journal of Mathematical Biology 78(7):2317-2339
  14. Kunegel-Lion, M., Goodsman, D.W., Lewis, M.A. (2018) When managers forage for pests: Functional response applications to human-pest management. Ecological Modelling 396:59-73
  15. Kunegel-Lion, M., McIntosh, R.L., Lewis, M.A. (2018) Management assessment of mountain pine beetle infestation in Cypress Hills, SK. Canadian Journal of Forest Research 49(2): 154-163
  16. Cantrell, R.S., Cosner, C., Lewis, M.A., Lou, Y. (2018) Evolution of dispersal in a spatial population with multiple timescales. Journal of Mathematical Biology DOI: 10.1007/s00285-018-1302-2 (epub)
  17. Reimer, J., Caswell, H., Derocher, A., Lewis, M.A. (2019) Ringed seal demography in a changing climate. Ecological Applications 29(3):e01855
  18. Yang, Z., Dai, Q., Foss-Grant, A., Gurarie, E., Lewis, M.A., Fagan, W.F. (2019) Movement and activity of reintroduced giant pandas Ursus 29(2): 163-174
  19. Phillips, J.A., Peacock, S.J, Bateman, A., Bartlett, M., Lewis, M.A., Krkošek, M. (2018) An asymmetric producer-scrounger game: body size and the social foraging behavior of coho salmon Theoretical Ecology. 11(4): 417-431
  20. Xiao, Y., Greiner, R., Lewis, M.A. (2018) Evaluation of machine learning methods for predicting eradication of aquatic invasive species Biological Invasions 20(9): 2485-2503
  21. Lewis, M.A., Marculis, N.G., Shen, Z. (2018) Integrodifference equations in the presence of climate change: persistence criterion, travelling waves and inside dynamics. Journal of Mathematical Biology 77(6-7):1649-1687
  22. Peacock, S.J., Bouhours, J., Lewis, M.A., Molnár, P.K. (2018) Macroparasite dynamics of migratory host populations. Theoretical Population Biology 120: 29-41
  23. Berbert, J.M., Lewis, M.A. (2018) Superdiffusivity due to resource depletion in random searches. Ecological Complexity 33: 41-48
  24. Rajakaruna, H., Lewis, M.A. (2017) Do yearly temperature cycles reduce species richness?  Insight from calanoid copepods. Theoretical Ecology 1(11): 39-53
  25. Kreitzman, M., Ashander, J., Driscoll, J., Bateman, A.W., Chan, K., Lewis, M.A, Krkošek, M. (2017) Wild salmon sustain the effectiveness of parasite control on salmon farms: conservation implications from an evolutionary ecosystem service. Conservation Letters 11(2): 1-13
  26. Schlägel, U.E., Merrill, E., Webb, N., Lewis, M.A. (2017) Territory surveillance and prey management: Wolves keep track of space and time. Ecology and Evolution 7(20): 8388-8405
  27. G. Bastille-Rousseau, Murray, D.L, Schaefer, J.A., Lewis, M.A., Mahoney, S., Potts, J.R. (2017) Spatial scales of habitat selection decisions: implications for telemetry-based movement modeling. Ecography 41(3):437-443
  28. Mesgaran, M., Cousens, R., Bouhours, J., Lewis, M.A. (2017) How to be a good neighbor: facilitation and competition among co-flowering species. Journal of Theoretical Biology, 422: 72-83
  29. Bouhours, J., Mesgaran, M.B., Cousens, R.D., Lewis, M.A. (2017) Neutral hybridization can overcome a strong Allee effect by improving pollination quality, Theoretical Ecology 10(3): 319-339
  30. Rajakaruna, H., Lewis, M.A. (2017) Temperature cycles affect the colonization potential of calanoid copepods. Journal of Theoretical Biology, 419: 77-89
  31. Goodsman, D.W., Cooke, B.J., Lewis, M.A. (2017) Positive and negative density-dependence and boom-bust dynamics in enemy-victim populations: A mountain pine beetle case study, Theoretical Ecology, 10: 255-267
  32. Marculis, N.G., Lui, R., Lewis, M.A. (2017) Neutral genetic patterns for expanding populations with nonoverlapping generations, Bulletin of Mathematical Biology 79(4): 828-852
  33. Hernandez, M., Johansson, M.L., Xiao, Y., Lewis, M.A., MacIsaac, H.J. (2017) Modeling sampling strategies for determination of zooplankton abundance in ballast water. Marine Pollution Bulletin 115(1-2): 80-85
  34. Huang, Q., Wang, H., Lewis, M.A. A continuous-discrete hybrid model for invasion dynamics of zebra mussels in rivers. SIAM J. Applied Mathematics 77(3): 854-880
  35. Fazly, M., Lewis, M.A., Wang, H. (2017) On impulsive reaction-diffusion models in higher dimensions, SIAM J. Applied Math 77(1): 224-246
  36. Peacock, S.J., Krkošek, M., Lewis, M.A., Lele, S. (2016) Study design and parameter estimability for spatial and temporal ecological models, Ecology and Evolution, 7(2): 762-770
  37. Garnier, J., Lewis, M.A. (2016) Population expansion under climate change: the genetic consequences. Bulletin of Mathematical Biology, 78(11): 2165-2185
  38. Bouhours, J., Lewis, M.A. Climate change and integrodifference equations in a stochastic environment. Bulletin of Mathematical Biology, 78(9): 1866-1903
  39. Krivan, V., Lewis, M.A., Bentz, B.J., Bewick, S., Lenhart, S.M., Liebhold, A. (2016) A dynamical model for bark beetle outbreaks. Journal of Theoretical Biology 407(21): 25-37
  40. Mesgaran, M.B., Lewis, M.A., Ades, P.K, Donohue, K., Ohadi, S., Li, C., Cousens, R.D., Hybridization can facilitate species invasions, even without enhancing local adaptation. Proceedings of the National Academy of Sciences 113(36): 10210-10214
  41. Goodsman, D.W., Koch, D., Whitehouse, C., Evenden, M., Cooke, B., Lewis, M.A. (2016) Aggregation and a strong Allee effect in a cooperative outbreak insect. Ecological Applications, 26(8): 2623-2636
  42. Lewis, M. A. (2016). Finding the sweet spot for invasion theory. Proceedings of the National Academy of Sciences, 113(25): 6819-6820
  43. Auger-Méthé, M., Field, C., Albertsen, C.M., Derocher, A.E., Lewis, M.A., Jonsen, I.D., Mills Flemming, J. (2016) State-space models’ dirty little secrets: even simple linear Gaussian models can have parameter and state estimation problems. Scientific Reports 6: 26677
  44. Schlägel, U.E., Lewis, M.A. (2016) Robustness of movement models: can models bridge the gap between temporal scales of data sets and behavioural processes? Journal of Mathematical Biology, 73(6): 1691-1726
  45. Potts, J.R., Lewis, M.A. (2016) How memory of direct animal interactions can lead to territorial patterns formation. Journal of the Royal Society Interface, 13(118): pii: 20160059.
  46. Goodsman, D.W., Lewis, M.A. (2016) The minimum founding population in dispersing organisms subject to strong Allee effects. Methods in Ecology and Evolution 7(9): 1100-1109
  47. Hamelin, F., Castella, F., Doli, V., Marcais, B, Ravigne, V., Lewis, M.A. (2016) Mate finding, sexual spore production, and the spread of fungal plant pathogens. Bulletin of Mathematical Biology 78(4): 695-712
  48. Auger-Méthé, M., Derocher, A., DeMars, C., Plank, M., Codling, E., Lewis, M.A. (2016) Evaluating random search strategies in three mammals from distinct feeding guilds Journal of Animal Ecology 85(5): 1411-1421
  49. Potapov, A., Merrill, E., Pybus, M. Lewis, M.A. (2016) Chronic wasting disease: Transmission mechanisms and the possibility of harvest management. PLOS ONE (11)3: e0151039
  50. Peacock. S.J., Bateman, A.W., Krkošek, M, Lewis, M.A. (2016) The dynamics of coupled populations subject to control. Theoretical Ecology. 9(3): 365-380
  51. Huang, Q., Wang. H.W., Ricciardi, A. Lewis, M.A. (2016) Temperature- and turbidity-dependent competitive interactions between invasive freshwater mussels. Bulletin of Mathematical Biology 778(3): 353-380
  52. Schlägel, U.E., Lewis, M.A. (2016) A framework for analyzing movement models’ robustness against varying temporal discretization. Journal of Mathematical Biology 73(4): 815-845
  53. Avgar, T., Potts, J.R., Lewis, M.A, Boyce, M.S. (2016) Integrated step selection analysis: Bridging the gap between resource selection and animal movement. Methods in Ecology and Evolution. 7(5): 619-630
  54. Huang, Q., Jin, Y., Lewis, M.A. (2016) R0 analysis of a benthic-drift model for a stream population. SIAM Journal on Applied Dynamical Systems 15(1): 287-321
  55. Groner, M.L., Rogers, L.A, Bateman, A.W., Connors, B.M, Frazer, L.N., Godwin, S.C., Krkošek, M., Lewis, M.A., Peacock, S.J., Rees, E.E., Revie, C.W., Schlägel, U.E. (2016) Conservation, fisheries and aquaculture: Quantitative lessons from sea lice and salmon epidemiology. Philosophical Transactions of the Royal Society B: Biological Sciences 371: 20150203.
  56. Potts, J.R., Hillen T., Lewis, M.A. (2015) The “edge effect” phenomenon: deriving population abundance patterns from individual animal movement decisions Theoretical Ecology 9(2): 233-247
  57. Potapov, A., Merrill, E., Pybus, M., Lewis, M.A. (2015) Empirical estimation of R0 for unknown transmission functions: The case of chronic wasting disease in Alberta. PLoS One 10(10):e0140024.
  58. Vasilyeva, O., Lutscher, F., Lewis, M.A. (2016) Analysis of spread and persistence for stream insects with winged adult stages. Journal of Mathematical Biology 72(4): 851-875
  59. Peacock, S.J., Krkošek, M., Bateman, A.W., Lewis, M.A. (2015) Parasitism and food web dynamics of juvenile Pacific salmon. Ecosphere 6(12): 264
  60. Gagnon, K., Peacock, S., Jin, Y., Lewis, M.A. (2015) Modelling the spread of the invasive alga Codium fragile drive by long-distance dispersal of buoyant propagules. Ecological Modelling 316(c): 111-121

  61. Huang, Q., Wang, H. Lewis, M.A. (2015) The impact of environmental toxins on predator-prey dynamics.  Journal of Theoretical Biology 378:12-30
  62. Auger-Méthé, M., Derocher, A., Plank, M., Codling, E., Lewis, M.A. (2015) Differentiating the Lévy walk from the composite correlated random walk. Methods in Ecology and Evolution. 6(10): 1179-1189
  63. Auger-Méthé, M., Lewis, M.A., Derocher, A.E. (2015) Home ranges in moving habitats: polar bears and sea ice. Ecography 38: 01-10
  64. Potts, J.R., Lewis, M.A. (2015) Territorial pattern formation in the absence of an attractive potential. Journal of Mathematical Biology. (epub)
  65. Bateman, A.W., Neubert, M.G., Krkošek, M., Lewis, M.A. (2015) Generational spreading speed and the dynamics of ecological invasions. American Naturalist 186(3): 362-375
  66. Paolucci, E.M., Hernandez, M.C., Potapov, A., Lewis, M.A., MacIsaac, H.J. (2015) Hybrid treatment increases efficiency of ballast water management Journal of Applied Ecology.52(2):348-357
  67. Bastille-Rousseau, G., Potts, J.R., Lewis, M.A., Ellington, E.H., Rayl, N.D., Mahoney, S.P., Fuller, T.K., Organ J.F., Schaefer, J.A., Murray, D.L. (2015) Unveiling trade-offs in resource selection of migratory caribou using a mechanistic movement model of availability. Ecography 38: 01-11
  68. Huang, Q., Lewis, M.A. (2015) Homing fidelity and reproductive rate for migratory populations.Theoretical Ecology 8(2):187-205
  69. Schlägel, U., Lewis, M.A. (2014) Detecting effects of spatial memory and dynamic information on animal movement decisions. Methods in Ecology and Evolution5(11):1236-1246.
  70. Drolet, D., Locke, A., Lewis, M.A., Davidson, J. (2015) Evidence-based tool surpasses expert opinion in predicting probability of eradication of aquatic non-indigenous species. Ecological Applications 25(2):441-450.
  71. Potts, J.R., Mokross, K., Stouffer, P.C., Lewis, M.A. (2014) Step selection techniques uncover the environmental predictors of space use patterns in flocks of Amazonian birds. Journal of Animal Ecology 4(24): 4578-4588
  72. Goodsman, D., Cooke, B., Coltman, D.W., Lewis, M.A. (2014) The genetic signature of rapid range expansions: dispersal, growth and invasion speed impact heterozygosity and allele surfing. Theoretical Population Biology 98:1-10.
  73. Potts, J.R., Auger- Méthé, M., Lewis, M.A. (2014) A generalized residual technique for analyzing complex movement models using the earth mover’s distance. Methods in Ecology and Evolution 5:1-11.
  74. Bateman, A.W., Lewis, M.A., Gall, G., Manser, M.B., Clutton-Brock, T.H. (2014) Territoriality and home-range dynamics in meerkats, Suricata suricatta: a mechanistic modelling approach Journal of Animal Ecology 84(1): 260-271
  75. Potts, J.R., Mokross, K., Lewis, M.A. (2014) A unifying framework for quantifying the nature of animal interactions. Journal of the Royal Society Interface. 11(96): 20140333
  76. Jin, Y., Hilker, F., Steffler, P., Lewis, M.A. (2014) Seasonal invasion dynamics in a spatially heterogeneous river with fluctuating flows. Bulletin of Mathematical Biology 76: 1522-1565 .
  77. Potts, J.R., Lewis, M.A. (2014) How do animal territories form and change?  Lessons from 20 years of mechanistic modeling. Proceedings of the Royal Society B281(1784) 20140231
  78. Potts, J.R., Lewis, M.A. (2014) A mathematical approach to territorial pattern formation. American Mathematical Monthly 121(9): 754-770
  79. Jacobsen, J., Jin, Y., Lewis, M.A.(2014) Integrodifference models for persistence in temporally varying river environments. Journal of Mathematical Biology 70(3): 549-590
  80. Drolet, D., Locke, A., Lewis, M.A., Davidson, J. (2014) User-friendly and evidence-based tool to evaluate probability of eradication of aquatic non-indigenous species. Journal of Applied Ecology 51(4): 1050-1056
  81. Potapov, A., Schlaegel, U., Lewis, M.A. (2014) Evolutionarily stable diffusive dispersal. Discrete and Continuous Dynamical Systems B 19(10): 3319-3340
  82. Molnár, P.K., Lewis, M.A., Derocher, A.E. (2014) Estimating Allee dynamics before they can be observed: polar bears as a case study. PLoS ONE 9(1): e85410.doi:10.1371/journal.pone.0085410
  83. Krkošek, M., Ashander, J., Frazer, N., Lewis, M.A., (2013) Allee effect from parasite spill-back. American Naturalist, 182(5):640-652.
  84. Fagan, W., Lewis, M.A., Auger-Methe, M., Avgar, T., Benhamou, S., Breed, G., LaDage, L., Schlägel, U.E., Tang, W., Papastamatiou, Y.P., Forester, J., Mueller, T. (2013) Spatial memory and animal movement. Ecology Letters, 16(10):1316-1329.
  85. Rajakaruna, H., Potapov, A., Lewis, M.A. (2013) Impact of stochasticity in immigration and reintroduction on colonizing and extirpating populations. Theoretical Population Biology, 85: 38-48.
  86. Potts, J.R., Bastille-Rousseau, G., Murray, D., Schaefer, J., Lewis, M.A. (2014) Predicting local and non-local effects of resources on animal space use using a mechanistic step-selectionmodel. Methods in Ecology and Evolution 5(3):253-262
  87. Peacock, S., Connors, B., Krkošek, M., Irvine, J.S., Lewis, M.A. Can reduced predation offset negative effects of sea louse parasites on chum salmon? Proceedings of the Royal Society of London B, 281(1776):20132913.
  88. Huang, Q., Parshotham, L., Wang. H. Bampfylde, C., Lewis, M.A. (2013) Mathematical risk assessment of contaminants on fish population dynamics. Journal of Theoretical Biology, 334:71-79
  89. Potapov, A., Merrill, E., Pybus, M., Coltman, D., Lewis, M.A. (2013) Chronic wasting disease: on possible transmission mechanisms in deer. Ecological Modelling, 250:244-257
  90. Peacock, S.J., Krkošek, M., Proboscsz, S., Orr, C., Lewis, M.A. (2012) Cessation of a salmon decline with control of parasites, Ecological Society of America - Ecological Applications, 23(3):606-620
  91. Lewis, M.A., Li, B. (2012) Spreading speed, traveling waves and the minimal domain size in impulsive reaction-diffusion models, Bulletin of Mathematical Biology, 74(10):2383-2402
  92. Potapov, A., Merrill, E., Lewis, M.A. (2012) Wildlife disease elimination and density dependence. Proceedings of the Royal Society B, 279(1741):3139-3145
  93. McKenzie, H.W., Merrill, E.H., Spiteri, R., Lewis, M.A. (2012) Linear features affect predator search time: implications for the functional response. Royal Society Interface Focus, 2(2):205-216
  94. Krkošek, M., Connors, B.M., Lewis, M.A., Poulin, R. (2012) Allee effects may slow the spread of parasites in a coastal marine ecosystem. American Naturalist, 179(3):401-412
  95. Ashander, J., Krkošek, M., Lewis, M.A. (2012). Aquaculture-induced changes to dynamics of migratory hosts and specialist parasite: A case study of pink salmon and sea lice. Theoretical Ecology, 5(2):231-252
  96. Rajakaruna, H., Strasser, C., Lewis, M.A. (2012) A novel approach to indentify non-invasible habitats for marine copepods using temperature-dependent R0 as a metric. Biological Invasions, 14(3):633-647.
  97. Jin, Y., Lewis, M.A. (2012) Seasonal influences on population spread and persistence in streams: Spreading speeds. Journal of Mathematical Biology, 65(3):403-439
  98. Potapov, A., Muirhead, J., Yan, N., Lele, S., Lewis, M. (2011) Models of lake invasibility by Bythotrephes longimanus, a non-indigenous zooplankton. Biological Invasions, 13(11):2459-2476
  99. Yan, N.D, Leung, B., Lewis, M.A., Peacor, S.D. (2011) The spread, establishment and impacts of the spiny water flea, Bythotrephes longimanus, in temperate North America: a synopsis of the special issue. Biological Invasions, 13(11):2423-2432
  100. Krkošek, M., Connors, B.M., Ford, H. Peacock, S., Mages, P. Ford, J.S., Morton, A., Volpe, J.P., Hilborn, R., Dill, L.M., Lewis, M.A. (2011). Fish farms, parasites, and predators: implications for salmon population dynamics Ecological Applications 21(3):897-914.
  101. Krkošek, M, Connors, B.M., Morton A., Lewis, M.A. Dill L.M. Hilborn R. (2011) Effects of parasites from salmon farms on productivity of wild salmon. Proceedings of the National Academy of Sciences, 108(35):14700-14704
  102. McKenzie, H.W., Jin, Y. Jacobsen, J.T., Lewis, M.A. (2011) R0 analysis of a spatiotemporal model for a stream population SIAM J on Applied Dynamical Systems, 11(2):567-596
  103. Strasser, C.A, Dibacco, C, Lewis, M.A. (2011). A mechanistic model for understanding invasions with environment as a predictor of population success. Diversity and Distributions, 17(6):1210-1224
  104. Auger-Méthé, M., Cassady St. Clair, C., Lewis, M.A., Derocher, A.E. (2011) Sampling rate and misidentification of Lévy and non-Lévy movement paths. Ecology, 92(8):1699-1701
  105. Muirhead, J., Lewis, M.A., MacIsaac, H.J. (2011) Prediction and error in multi-stage models for spread of aquatic invasive species. Diversity and Distributions 17(2):323-337
  106. Wittmann, M.J, Lewis, M.A., Young, J.D., Yan, N.D. (2011) Temperature-dependent Allee effects in a stage-structured model for Bythotrephes establishment. Biological Invasions, 13(11):2477-2497
  107. Jin, Y., Lewis, M.A. (2011) Seasonal influences on population spread and persistence in streams II: Critical domain size. SIAM J Appl. Math, 71(4):1241-1262.
  108. Marleau, J.N., Jin, Y., Bishop, J., Fagan, W.F., Lewis, M.A. (2011) A Stoichiometric model of early plant primary succession on Mount St. Helens. The American Naturalist, 177(2):233-245.
  109. Molnar, P.K., Derocher, A.E., Klanjscek, T., Lewis, M.A. (2011) Predicting climate change impacts on polar bear litter size. Nature Communication, 2:186.
  110. Potapov, A, Muirhead, J.M., Lele, S.R., Lewis, M.A. (2011) Stochastic gravity models for modeling lake invasions. Ecological Modelling, 222(4):964–972.
  111. Molnar, P.K., Derocher, A.E., Theimann, G., Lewis, M.A. (2010). Predicting survival, reproduction and abundance of polar bears under climate change. Biological Conservation, 143(7):1612-1622.
  112. Finnoff, D., Potapov, A., Lewis, M.A. (2010) Control and the management of a spreading invader. Resource and Energy Economics, 32(4):534–550.
  113. Hilker, F.M., Lewis, M.A. (2010). Predator-prey systems in streams and rivers. Theoretical Ecology, 3(3):175-193.
  114. Lewis, M.A., Nelson, W., Xu, C. (2010). A Structured Threshold Model for Mountain Pine Beetle Outbreak. Bull. Math. Biol. 72(3):565–589
  115. Krkošek, M., Lewis, M. A. (2010). An R0 theory for source-sink dynamics with applications to Dreissena competition. Theoretical Ecology, 3(1):25–43.
  116. Hamelin, F., Lewis, M.A. (2010) A differential game theoretical analysis of mechanistic models for territoriality. Journal of Mathematical Biology, 61(5):665–694.
  117. de Camino-Beck,T., Lewis, M.A. (2009). Invasion with stage-structured coupled map lattices: Application to the spread of scentless chamomile. Ecological Modelling, 220(23):3394-3403.
  118. Molnar, P.K, Klanjscek, T., Derocher, A., Obbard, M.E., Lewis, M.A. (2009). A body composition model to estimate mammalian energy stores and metabolic rates from body mass and body length, with application to polar bears. Journal of Experimental Biology, 212(Pt15):2313-2323.
  119. Krkošek, M., Morton, A., Volpe, J.P., Lewis, M.A. (2009). Sea lice and salmon population dynamics: Effects of exposure time for migratory fish. Proceedings of the Royal Society of London B, 2761668):2819-2828.
  120. Eftimie, R., de Vries, G., Lewis, M.A. (2009). Weakly nonlinear analysis of a hyperbolic model for animal group formation. J. Math. Biol, 59(1):37–74.
  121. Cobbold, C.A., Roland, J., Lewis, M.A. (2009). The impact of parasitoid emergence time on host-parasitoid population dynamics.  Theoretical Population Biology, 75(2-3):201-215.
  122. Lee, J.M., Hillen, T., Lewis, M.A. (2009). Pattern formation in prey-taxis systems. Journal of Biological Dynamics, 3(6):551–573.
  123. Jerde, C.L, Bampfylde, C.J., Lewis, M.A. (2009). Chance establishment for sexual, semelparous species: Overcoming the Allee effect. American Naturalist, 173(6):734-746.
  124. de Camino-Beck, T.,  Lewis, M.A., and van den Driessche, P. (2009). Graph-theoretic method for the basic reproduction number in continuous time epidemiological models. Journal of Mathematical Biology, 59(4):503-516.
  125. McKenzie, H.W., Lewis, M.A., Merrill, E.H. (2009). First passage time analysis of animal movement and insights into the functional response. Bulletin of Mathematical Biology, 71(1):107-129
  126. Krkošek, M., Ford, J.S., Morton, A., Lele, S., Lewis, M.A. (2008). Response to Comment on “Declining wild salmon populations in relation to parasites from farm salmon.” Science, 322(5909):1790.
  127. Li, B., Lewis M.A, and Weinberger, H.F. (2008). Existence of traveling waves for integral recursions with nonmonotone growth functions. Journal of Mathematical Biology, 58(3):323–338.
  128. Nelson, W.A., Lewis, M.A. (2008). Connecting host physiology to host resistance in the conifer-bark beetle system. Theoretical Ecology. Theoretical Ecology, 1(3):163-177
  129. de Camino Beck, T., Lewis, M.A.  July (2008). On net reproductive rate and the timing of reproductive output. American Naturalist, 172(1):128-139.
  130. McKenzie, H., Jerde, C., Visscher, D.R., Merrill, E.H., Lewis, M.A. (2008). Inferring linear feature use in the presence of GPS measurement error. Environmental & Ecological Statistics, 16(4):531–546.
  131. Potapov, A.B., Lewis, M.A. (2008). Allee effect and control of lake system invasion.. Bulletin of Mathematical Biology, 70(5):1371-1397.
  132. Krkošek, M., Ford, J., Morton, A., Lele, S., Lewis, M.  (2008). Sea lice and pink salmon declines: response to Brooks and Jones. Reviews in Fisheries Science, 16(4):413-420.
  133. Molnar, P.K., Derocher, A.E., Lewis, M.A. Taylor, M.A. (2008). Modeling the mating system of polar bears - a mechanistic approach to the Allee effect. Proceedings of the Royal Society of London B, 275(1631):217-226.
  134. Lee, J.M., Hillen, T., Lewis, M.A. (2008).  Continuous travelling waves for Prey-taxis. Bulletin of Mathematical Biology, 70(3):654-676.
  135. Nelson, W.A., Potapov, A., Lewis, M.A., Hundsdorfer, A., He, F. (2008). Balancing ecological complexity in predictive models: A reassessment of risk models in the mountain pine beetle. Journal of Applied Ecology, 45(1):248-257.
  136. Eftimie, R., de Vries, G., Lewis, M.A. (2007). Complex spatial group patterns result from different animal communication mechanisms. Proceedings of the National Academy of Sciences, 104(17):6974-6979.
  137. Krkošek, M., Ford, J.S., Morton, A., Lele, S., Myers, R.A., Lewis, M.A. (2007). Declining wild salmon populations in relation to parasites from farm salmon. Science, 318(5857):1772-1775.
  138. Krkošek, M., Gottesfeld, A., Proctor, B., Rolston, D., Carr-Harris, C., Lewis, M.A. (2007). Effects of host migration, diversity, and aquaculture on disease threats to wild fish populations. Proceedings of the Royal Society of London, Series B, 274(1629):3141-3149.
  139. Krkošek, M., Lauzon-Guy, J.S, Lewis, M.A. (2007). Relating dispersal and range expansion of California sea otters. Theoretical Population Biology, 71(4):401-407.
  140. Jerde, C., Lewis, M.A. (2007). Waiting for invasions: A framework for the arrival of non-indigenous species. The American Naturalist, 170(1):1-9.
  141. Weinberger, H.F., Lewis, M.A., Li, B. (2007). Anomalous spreading speeds of cooperative recursion systems. Journal of Mathematical Biology, 55(2):207-222 .
  142. Lutscher, F., McCauley, E., Lewis, M.A. (2007). Spatial patterns and coexistence mechanisms in systems with unidirectional flow. Theoretical Population Biology. Theoretical Population Biology, 71(3):267-277 .
  143. Noonburg, E.G., Newman L.A., Lewis, M.A., Crabtree, R., Potapov, A. (2007). Sequential decision-making in a variable environment: Modeling elk movement in Yellowstone National Park as a dynamic game. Theoretical Population Biology, 71(4):182-195.
  144. de Camino Beck, T., Lewis, M.A. (2007). A new method for calculating net reproductive value from graph reduction with applications to the control of invasive species.  Bulletin of Mathematical Biology, 69(4):1341-1354
  145. Eftimie, R., de Vries, G., Lewis, M.A., Lutscher, F. (2007).  Modeling group formation and activity patters in self-organizing collectives of individuals. Bulletin of Mathematical Biology, 69(5):1537-1565.
  146. Bampfylde, C., Lewis, M.A. (2007). Biological control through intraguild predation: Case studies in pest control, invasive species and range expansion. Bulletin of Mathematical Biology, 69(3):1031-1066.
  147. Nisbet, R., Anderson, K. , McCauley, E., Lewis, M.A. (2007). Response of equilibrium states to spatial environmental heterogeneity in advective systems. Mathematical Biosciences and Engineering, 4(1):1-13
  148. Potapov, A., Lewis, M.A., Finoff, D.  (2007). Prevention of a lake system invasion: Macroscopic description. Natural Resource Modeling,  20(3):351-379.
  149. Krkošek, M., Lewis, M.A., Volpe, J., Morton, A. (2006). Fish farms and sea lice infestations of wild juvenile salmon in the Broughton Archipelago - A rebuttal to Brooks (2005). Reviews in Fisheries Science, 14(1):1-11.
  150. Krkošek, M., Lewis, M.A., Morton, A., Frazer, L.N., Volpe, J.P. (2006).  Epizootics of wild fish induced by farm fish. Proceedings of the National Academy of Sciences, 103(42):15506-15510. Supplemental material
  151. Hurford. A., Hebblewhite, M., Lewis, M.A. (2006). A spatially explicit model for the Allee effect: Why wolves recolonize so slowly in Greater Yellowstone. Theoretical Population Biology, 70(3):244-254
  152. Lutscher, F., Lewis, M.A., McCauley, E. (2006). Effects of heterogeneity on spread and persistence in rivers. Bulletin of Mathematical Biology, 68(8):2129-2160
  153. Moorcroft, P.R., Lewis, M.A., Crabtree, R. (2006). Mechanistic home range models capture spatial patterns and dynamics of coyote territories in Yellowstone. Proceedings of the Royal Society of London B, 273(1594):1651-1659
  154. Lewis, M.A., Renclawowicz, J., van den Driessche, P., Wonham, M. (2006). A comparison of continuous and discrete time West Nile virus models. Bulletin of Mathematical Biology, 68(3):491-509
  155. Wonham, M.J., Lewis, M.A., Renclawowicz, J., van den Driessche, P. (2006).  Transmission assumptions generate conflicting predictions in host–vector disease models: a case study in West Nile virus. Ecology Letters, 9(6):706–725
  156. Topaz, C., Bertozzi, A., Lewis, M.A. (2006). A nonlocal continuum model for biological aggregation. Bulletin of Mathematical Biology: 68(7):1601-1623
  157. Moorcroft, P., Pacala, S., Lewis, M.A. (2006). Potential role of natural enemies on tree species range expansions following climate change. Journal of Theoretical Biology, 241(3):601–616
  158. Lewis, M.A., Renclawowicz, J., van den Driessche, P.  (2006). Traveling waves and spread rates for a West Nile virus model. Bulletin of Mathematical Biology, 68(1):3-23
  159. Wonham, M.J., Lewis, M.A., MacIsaac, H.J. (2005). Minimizing invasion risk by reducing propagule pressure: Application to ballast-water exchange. Frontiers in the Ecology and the Environment, 3(9):473-478
  160. Lutscher, F., Pachepsky, E., Lewis, M.A. (2005).  The effect of dispersal patterns on stream populations. SIAM Review, 47(4):749--772 (modified version of next article, selected as SIGEST paper of outstanding interest and chosen for republication in SIAM Review).
  161. Lutscher, F., Pachepsky, E., Lewis, M.A. (2005). The effect of dispersal patterns on stream populations. SIAM Journal of Applied Math, 65(4):1305--1327
  162. Wonham, M.J., Bailey, S.A., MacIsaac, H.J., Lewis, M.A.  (2005). Modeling the invasion risk of diapausing organisms transported in ballast sediments. Can. J. Fish. Aquat. Science, 62(10):2386-2398.
  163. Drake, J., Lodge, D., Lewis, M.A. (2005).  Theory and preliminary analysis of species invasions from ballast water: Controlling discharge volume and location. America Midland Naturalist, 154(2):459-470.
  164. Fagan, W., Lewis, M.A., Neubert, M., Aumann, C., Apple, J., Bishop, J. (2005). When can herbivores slow or reverse the spread of an invading plant? A test case from Mount Saint Helens. American Naturalist, 166(6):669-685.
  165. Hilker, F.M., Lewis, M.A., Seno, H., Langlais, M., Malchow, H. (2005). Pathogens can slow down or reverse invasion fronts of their hosts. Biological Invasions, 7(5):817-832
  166. Pielaat, A., Lewis, M.A., Lele, S., de Camino-Beck, T. (2005). Sequential sampling designs for catching the tail of dispersal kernels. Ecological Modeling, 190(1-2):205-222
  167. Li, B., Weinberger, H.F., Lewis, M.A. (2005). Spreading speeds as slowest wave speeds for cooperative systems. Mathematical Biosciences, 196(1):82-98
  168. Krkošek, M., Lewis, M.A., Volpe, J.P. (2005). Transmission dynamics of parasitic sea lice from farm to wild salmon. Proceedings of the Royal Society of London B, 272(1564):689--696
  169. Lutscher, F., Pachepsky, E., Lewis, M.A. (2005). The effect of dispersal patterns on stream populations. SIAM Journal on Applied Math, 65(4):1305-1327
  170. Pachepsky, L., Lutscher, F., Nisbet, R., Lewis, M.A. (2005). Persistence, spread, and the drift paradox. Theoretical Population Biolog, 67(2):61-73
  171. Cobbold, C.A., Lewis, M.A., Roland, J., Lutscher, F. (2005). How parasitism affects critical patch size in a host-parasitoid system: Application to Forest Tent Caterpillar. Theoretical Population Biology, 67(2):109-125
  172. Holt, R., Keitt, T., Lewis, M.A., Maurer, B., Taper, M. (2005). Theoretical models of species' borders: Single species approaches.  Oikos, 108(1):18-27
  173. Potapov, A., Lewis, M.A. (2004). Climate and competition: The effect of moving range boundaries on habitat invasibility. Bulletin of Mathematical Biology, 66(5):975-1008
  174. Wonham, M.J., de Camino-Beck, T., Lewis, M.A. (2004).  An epidemiological model for West Nile Virus: Invasion analysis and control applications. Proceedings of the Royal Society of London B, 271(1538):501-507
  175. Lutscher, F., Lewis, M.A. (2004). Spatially-explicit matrix models: A mathematical analysis of stage-structured integrodifference equations. Journal of Mathematical Biology, 48(3):293-324
  176. Leung, B., Lodge, D.M., Finnoff, D, Shogren, J.F., Lewis, M.A., Lamberti, G. (2003). An ounce of prevention or a pound of cure: Bioeconomic risk analysis of invasive species. Proceedings of the Royal Society of London B,  269(1508):2407-2413
  177. Clark, J., Lewis, M.A., McLachlan, J., HilleRisLambers, J. (2003). Estimating population spread based on dispersal data: What can we forecast and how well?  Ecology, 84(8):1979-1988
  178. Hadeler, K.P., Lewis, M.A. (2002). Spatial dynamics of the diffusive logistic equation with sedentary component. Canadian Applied Math. Quarterly, 10(4):473-500
  179. MacIsaac, H.J., Robbins, T.C., Lewis, M.A. (2002). Modeling ships’ ballast water as invasion threats to the Great Lakes. Canadian Journal of Fisheries and Aquatic Science, 59(7):245-1256
  180. Fagan, W., Lewis, M.A., Neubert, M.G., van den Driessche, P. (2002). Invasion theory and biological control. Ecology Letters 5(1):148-157
  181. Briscoe, B., Lewis, M.A, Parrish, S. (2002). Home range formation in wolves due to scent marking. Bulletin of Mathematical Biology, 64(2):261-284
  182. Lewis, M.A., Li, B., Weinberger, H.F. (2002) Spreading speed and the linear determinacy for two-species competition models. Journal of Mathematical Biology, 45(3):219-233 
  183. Weinberger, H.F, Lewis, M.A., Li, B. (2002). Analysis of linear determinacy for spread in cooperative models. Journal of Mathematical Biology, 45(3):183-218
  184. Lewis, M.A., Moorcroft, P.R. (2001). ESS analysis of mechanistic home range models: the value of signals in spatial resource partitioning. Journal of Theoretical Biology, 210(4):449-461 
  185. Owen, M., Lewis, M.A. (2001). Can predation slow, stall or reverse a prey invasion? Bulletin of Mathematical Biology, 63(4):655-684
  186. Clark, J.S., Lewis, M.A., Horvath, L. (2001). Invasion by extremes: Population spread with variation in dispersal and reproduction. American Naturalist, 157(5):537-554
  187. Owen, M., Lewis, M.A. (2001). The mechanics of lung tissue under high frequency ventilation. SIAM Journal on Applied Mathematics, 61(5):1731-1761
  188. Keitt, T.H., Lewis, M.A., Holt, R.D. (2001). Allee dynamics, critical phenomena and species' borders. American Naturalist, 157(2):203-216
  189. Clark, J.S., Horvath, L., Lewis, M.A. (2001). On the estimation of spread rate for a biological population. Statistics and Probability Letters, 51(3):225-234
  190. Lewis, M.A. (2000).  Spread rate for a nonlinear stochastic invasion. Journal of Mathematical Biology, 41(5):430-454
  191. Lewis, M.A., Pacala, S.  (2000).  Modeling and analysis of stochastic invasion processes. Journal of Mathematical Biology, 41(5):387-429
  192. Neubert, M.G., Kot, M., Lewis, M.A.  (2000).  Invasion speeds in fluctuating environments. Proceedings of the Royal Society of London B, 267(1453):1603-1610
  193. van Kirk, R.W., Lewis, M.A. (1999).  Edgepermeability and population persistence in isolated habitat patches. Natural Resources Modeling, 12(1):37-64
  194. Moorcroft, P.R., Lewis, M.A., Crabtree R. (1999). Home range analysis using a mechanistic home range model. Ecology, 80(5):1656-1665
  195. Clark, J. Fastie, C. Hurtt, G., Jackson, S., Johnson, C., King, G., Lewis, M., Lynch, J., Pacala, S., Prentice, C., Schupp, G, Webb, T., Wyckoff, P. (1998).  Reid's Paradox of rapid plant migration: Dispersal theory and interpretation of paleoecological records. BioScience, 48(1):13-24
  196. Ermentrout, B., Lewis, M.A.: (1997).  Pattern formation in systems with one spatially distributed species. Bulletin of Mathematical Biology, 59(3):533-550
  197. Sherratt, J.A, Eagan, B.T., Lewis, M.A. (1997).  Oscillations and chaos behind predator-prey invasion: Mathematical artifact or ecological reality? Phil. Trans. Roy. Soc. B, 352(1349):21-38
  198. Lewis, M.A., White, K.A.J., Murray, J.D. (1997).  Analysis of a model for wolf territories. Journal of Mathematical Biology, 35(7):749-774
  199. van Kirk, R.W., Lewis, M.A. (1997).  Integrodifference models for persistence in fragmented habitats. Bulletin of Mathematical Biology. 59: 107-138. Bulletin of Mathematical Biology, 59(1):107-138
  200. White, K.J., Lewis, M.A., Murray, J.D. (1996).  Wolf-deer interactions: A mathematical model. Proceedings of the Royal Society of London B. 263: 299-305. Proceedings of the Royal Society of London B, 263(1368):299-305
  201. Lewis, M.A., Schmitz, G.  (1996).  Biological invasion of an organism with separate mobile and stationary states: Modeling and analysis. Forma, 11(1):1-25
  202. Kot, M., Lewis, M.A., van den Driessche, P. (1996).  Dispersal data and the spread of invading organisms. Ecology, 77(7):2027-2042
  203. Veit, R.R., Lewis, M.A. (1996). Dispersal, population growth and the Allee Effect: Dynamics of the House Finch invasion of eastern North America. American Naturalist, 148(2):255-274
  204. Lewis, M.A., Schmitz, G., Kareiva, P., Trevors, J.  (1996). Models to examine containment and spread of genetically engineered microbes. Journal of Molecular Ecology, 5(2):165-175
  205. Cruywagen G., Kareiva, P., Lewis, M.A., Murray, J.D. (1996).  Competition in a spatially heterogeneous environment: Modelling the risk of spread of genetically engineered population. Theoretical Population Biology, 49(1):1-38
  206. White, K.J., Lewis, M.A., Murray, J.D.  (1996).  A model for wolf-pack territory formation and maintenance. Journal of Theoretical Biology, 178(1):29-43
  207. Neubert, M., Kot, M., Lewis, M.A. (1995) Dispersal and pattern formation in a discrete-time predator-prey model. Theoretical Population Biogy, 48(1):7-43
  208. Sherratt, J.A., Lewis, M.A., Fowler, A.C. (1995) Ecological chaos in the wake of invasion. Proceedings of the National Academy of Science, 92(7):2524-2528
  209. Lewis, M.A.  (1994). Spatial coupling of plant and herbivore dynamics: The contribution of herbivore dispersal to transient and persistent "waves'' of damage. Theoretical Population Biology, 45:277-312
  210. Holmes, E.E., Lewis, M.A., Banks, J.E. and Veit, R.R. (1994).  Partial differential equations in ecology: Spatial interactions and population dynamics. Ecology, 75(1):17-29
  211. Sneyd, J., Atri, A., Ferguson, M.W.J., Lewis, M.A., Seward, W., Murray, J.D. (1993).  A model for the spatial patterning of teeth primordia in the Alligator: Initiation of the dental determinant, Journal of Theoretical Biology, 165(4):633-658
  212. Lewis, M.A, Murray, J.D. (1993).  Modelling territoriality and wolf-deer interactions. Nature, 366:738-740
  213. Lewis, M.A., van den Driessche, P.  (1993). Waves of extinction from sterile insect release. Mathematical Bioscience, 116(2):221-247
  214. Lewis, M.A., Kareiva, P. (1993).  Allee dynamics and the spread of invading organisms. Theoretical Population Biology, 43(2):141-158
  215. Lewis, M.A., Murray, J.D. (1992).  Analysis of dynamic and stationary pattern formation in the cell cortex. Journal of Mathematical Biology, 31(1):25-71
  216. Lewis, M.A., Murray, J.D. (1991).  Analysis of stable two-dimensional patterns in contractile cytogel. Journal of Nonlinear Science, 1(3):289-311
  217. Lewis, M.A., Grindrod, P.  (1991). One-way blocks in cardiac tissue: A mechanism for propagation failure in Purkinje fibres. Bulletin of Mathematical Biology, 53(6):881-899
  218. Grindrod, P., Lewis, M.A., Murray, J.D. (1991). A geometrical approach to wave-type solutions of excitable reaction-diffusion systems. Proceedings of the Royal Society of London B. A433:151-164. Proceedings of the Royal Society of London: A, 433(1887):151-164
  219. Hethcote, H.W., Lewis, M.A., van den Driessche, P. 1989. An epidemiological model with a delay and nonlinear incidence rate. Journal of Mathematical Biology, 27(1):49-6


Other Publications

  1. Peacock, S.J., Bateman, A.W., Connors, B., Goodwin, S., Lewis, M.A., Krkošek, M. (2017) Ecology of a marine ectoparasite in farmed and wild salmon, In K. Wilson, A. Fenton and D.M.  Tompkins (eds) Wildlife Disease Ecology: Linking Theory to Data and Application, Ecological Reviews (In Press).
  2. Lewis, M.A. (2014) Invasive Species. In H.G. Kaper and C. Rousseau (eds) The Mathematics of Planet Earth: An International Year of Scientific and Outreach Activities, SIAM
  3. Lewis, M.A. (2014) Scientific Research on Sustainability and its Impact on Policy and Management. In H.G. Kaper and C. Rousseau (eds) The Mathematics of Planet Earth: An International Year of Scientific and Outreach Activities, SIAM
  4. Hillen, T, Lewis M.A. (2013) Mathematical Ecology of Cancer, Chapter 2 In G. A. Marsan and M. Delitala et al. (eds) Managing complexity, reducing perplexity. Modeling biological systems, Springer.
  5. Kot, M., Lewis, M.A., Neubert, M.G. (2010). Integrodifference Equations. To appear In A. Hastings and L. Gross (Eds.) Sourcebook in Theoretical Ecology, University of California Press.
  6. Lewis, M.A., Jerde, C. (2012). Invasion Biology. In A. Hastings and L. Gross (Eds.) Sourcebook in Theoretical Ecology, University of California Press.
  7. Finnoff, D., Potapov, A., Lewis M.A. (2012). Second best policies on invasive species management: When are they “good enough”?, In Charles Perrings, Hal Mooney, and Mark Williamson (eds) Bioinvasions and Globalization, Oxford University Press.
  8. Lewis, M.A., Krkošek, M., Wonham, M.J. (2010). Dynamics of emerging wildlife dis-ease. To appear in S. Sivaloganathan (ed) Mathematical Biology. Fields Institute Communications, American Mathematical Society.
  9. Hillen, T., Hadeler, K., Lewis, M.A. (2009). Biological modelling with quiescent phases. To appear in S. Cantrell, C. Cosner and S. Ruan (eds.), Spatial Ecology. CRC Press.
  10. Lewis, M.A., Potapov, A., Finnoff, D. (2009). Modeling integrated decision-making responses to invasive species. In R.P Keller, D.M. Lodge, M.A. Lewis and J.F. Shogren, (Eds.), Bioeconomics of Invasive Species: Integrating Ecology, Economics and Management. (Ch 9, pp 180-204). Oxford University Press.
  11. Lodge, D.M., Lewis, M.A., Shogren, J.F., Keller, R.P. (2009). Introduction to biological invasions: Biological, economic, and social perspectives. In R.P Keller, D.M. Lodge, M.A. Lewis and J.F. Shogren, (eds.), Bioeconomics of Invasive Species: Integrating Ecology, Economics and Management. (Ch 1, pp 1-24). Oxford University Press.
  12. Keller, R.P., Lewis, M.A., Lodge, D.M., Shogren, J.F., Krkošek, M. Putting bioeconomic research into practice. In R.P Keller, D.M. Lodge, M.A. Lewis and J.F. Shogren, (eds.), Bioeconomics of Invasive Species: Integrating Ecology, Economics and Management. (Ch 13, pp 266-284). Oxford University Press.
  13. Lewis, M.A., Hillen T., Lutscher, F. (2009). Spatial dynamics in ecology. In M.A. Lewis, J. Keener, P. Maini and M. Chaplain (Eds.), Park City Mathematics Institute Volume in Mathematical Biology, (pp 25-45). Insitute for Advanced Study, Princeton.
  14. Wonham, M.J., Lewis, M.A.  (2008). A comparative analysis of models for West Nile virus. In F. Brauer, P. van den Driessche and J. Wu. (Eds.), Lecture Notes in Mathematical Epidemiology, (pp. 365-390).  Springer-Verlag.
  15. Wonham, M.J., Lewis, M.A. (2008). Modeling marine invasions: Current and future approaches. In M G. Rilov and J. Crooks, (Eds.), Biological Invasions in Marine Ecosystems(Ch 4). Springer-Verlag Berlin Heidelberg.
  16. Lewis, M.A., Neubert, M.G., Caswell, H., Clark, J, Shea, K.  (2006). A guide to calculating discrete-time invasion rates from data. In Marc W. Cadotte, Sean M. McMahon, and Tadashi Fukami (Eds.), Conceptual Ecology and Invasions Biology: Reciprocal Approaches To Nature (pp. 169–192). Springer, The Netherlands.
  17. de Camino-Beck, T., McClay, A.S., Lewis M.A.  (2003). Spatially explicit models for weed-biocontrol agent interactions: scentless chamomile as a case study. In J.M. Cullen (Ed.), Proceedings of the XI International Symposium on Biological Control of Weeds, April 27 - May 2 (pp. 500-504), Canberra, Australia. CSIRO (2004).
  18. White, K.J., Lewis, M.A., Murray, J.D. (1998). On wolf territoriality and deer survival.  In J. Bascompte &R.V. Sole (Eds.), Modeling Spatiotemporal Dynamics, (Ch.6 pp. 105–126). Verlag and Landes Bioscience.
  19. Lewis, M.A. (1997).  Variability, patchiness and jump dispersal in the spread of an invading population, In D. Tilman and P. Kareiva (Eds.), Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions, (Chapter 3, pp. 46–69). Princeton University Press.
  20. Kareiva, P., Settle, W., Lewis, M.A. (1992). The significance of vegetation structure as a constraint on insect mobility: Implications for pest management.  In Shiyomi, M., Yano, E., Koizumi, H., Andow, D.A. and Nobuhiko, H. (Eds.), Ecological Processes in Agro-Ecosystems (pp. 67–78). National Institute of Agro-Environmental Sciences, Japan.


  1. Lewis, M.A., Petrovskii, S., Potts. J. (2016) Mathematics Behind Biological Invasions, Springer-Verlag.
  2. Lewis, M.A., Maini, P.K, Petrovskii, S. (2012) Dispersal, Individual Movement and Spatial Ecology: A Mathematical Perspective, Springer-Verlag.
  3. Lewis, M.A., Chaplain, M.A.J., Keener, J.P., Maini, P.K., eds. (2009).  Mathematical Biology. Institute for Advanced Study/Park City Mathematics Institute, Vol. 14.
  4. Keller, R.P., Lodge, D.M, Lewis, M.A., Shogren, J.F., eds. (2009).  Bioeconomics of Invasive Species: Integrating Ecology, Economics and Management. Oxford University Press, Inc.
  5. Moorcroft, P., Lewis, M.A. (2006). Mechanistic Home Range Analysis. Princeton Monograph in Population Biology. 172 pages.
  6. de Vries, G., Hillen, T., Lewis, M.A., Müller, J. Schonfisch, B. (2006). A Course in Mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods, SIAM Press. 309 pages.
  7. Othmer, H.G., Adler, F.R., Lewis, M.A., Dallon, J.C. (1997). Mathematical Modeling in Biology: Case Studies in Ecology, Physiology and Cell Biology. Prentice Hall.  ISBN 0–13–574039–8.

Book Reviews


  1. Lewis, M.A. (2003).  Featured Review: "Diffusion and Ecological Problems: Modern Perspectives," Second Edition. By Akira Okubo and Simon Levin SIAM Review 45: 127-128.
  2. Lewis, M.A.  (1996). Review of "Growth and Diffusion Phenomena: Mathematical Frameworks and Applications" by Robert B. Banks. Bull. Math. Biol. 58: 205-206.

Additional Lewis Lab Publications (Since 2006)

  1. Yee, M., Reimer, J.R., Lunn, N.J., Togunov, R.R., Pilfold, N.W., McCall, A., Derocher, A.E. (2017) Polar bear (Ursus maritimus) Migration from Maternal Dens in Western Hudson Bay. Arctic 70(3): 319
  2. Avgar, T., S.R. Lele, J.L. Keim, and M.S. Boyce (2017) Relative Selection Strength: quantifying effect size in habitat- and step-selection inference. Ecology and Evolution 7(14): 5322-5330
  3. Signer, J., J. Fieberg, and T. Avgar (2017) Estimating utilization distributions from fitted step-selection functions. Ecosphere.8(4): e01771
  4. Betini, G., T. Avgar, K.S. McCann, and J.M. Fryxell (2017) Daphnia inhibits the emergence of spatial pattern in a simple consumer-resource system. Ecology 98(4): 1163-1170
  5. Scrafford, M., T. Avgar, B. Abercrombie, and M.S. Boyce (2017) Wolverine distribution in response to timber-harvest activities in Canada's boreal forest. Forest Ecology and Management 395: 27-26
  6. Kittle, A.M., M. Anderson, T. Avgar, J.A. Baker, G.S. Brow n, et al. (2017) Landscape-level wolf space use is correlated with prey abundance, ease of mobility and the distribution of prey habitat. Ecosphere 8(4): e01783
  7. Prokopenko, C., M.S. Boyce, and T. Avgar, (2017) Characterizing w ildlife behavioural responses to roads using integrated step selection analysis. Journal of Applied Ecology, 54: 470-479.
  8. Ladle, A., T. Avgar, M. Wheatley, and M.S. Boyce (2017) Predictive modeling of ecological patterns along linear-feature netw orks. Methods in Ecology and Evolution, 8: 329-338.
  9. Betini, G., T. Avgar, and J.M. Fryxell (2017) Why are w e not evaluating multiple competing hypotheses in Ecology and Evolution? Royal Society Open Science, 4: 160756.
  10. Prokopenko, C., M.S. Boyce, and T. Avgar (2017) Extent-dependent habitat selection in a migratory large herbivore: road avoidance across scales. Landscape Ecology, 32: 313-325.
  11. Street, G.M., A.R. Rodgers, T. Avgar, L.M. Vander Vennen, and J.M. Fryxell (2017) Comparing resource selection and demographic models for predicting animal density. Journal of Wildlife Management, 81: 16–25.
  12. Bertram, D.F., A. Harfenist, L.L.E Cow en, D. Koch, M.C. Drever, J.M. Hipfner & M.J.F. Lemon. (2017) Latitudinal temperaturedependent variation in timing of prey availability can impact Pacific seabird populations in Canada. Canadian Journal of Zoology 95(3): 161-167
  13. Andrew W. Bateman, Andreas Buttenschön, Kelley D. Erickson, Nathan G. Marculis (2017) Barnacles vs bullies: modelling biocontrol of the invasive European green crab using a castrating barnacle parasite. Theoretical Ecology 10(3): 305-378
  14. Mesgaran, M. B., A. Onofri, H. R. Mashhadi and R. D. Cousens (2017) Water availability shifts the optimal temperatures for seed germination: a modelling approach. Ecological Modelling. 351: 87–95
  15. Sasanfar, H. R., E. Zand, M. A. Baghestani, M. J. Mirhadi and M. B. Mesgaran (2017) Cross-resistance patterns of w inter w ild oat (Avena ludoviciana) populations to ACCase-inhibitor herbicides. Phytoparasitica. 45:419-428
  16. Rahimi, S., H. R. Mashhadi, M. Dehghan-Bandaki and M. B. Mesgaran (2016) Variation in weed seed fate fed to different Holstein cattle groups. PLoS ONE. 11- e0154057
  17. Knut Wiik Vollset, Ian Dohoo, Ørjan Karlsen, Elina Halttunen, Bjørn Olav Kvamme, Bengt Finstad, Vidar Wennevik, Ola H Diserud, Andrew Bateman, Kevin D Friedland, Shad Mahlum, Christian Jørgensen, Lars Qviller, Martin Krkošek, Åse Åtland, Bjørn Torgeir Barlaup(2017) Disentangling the role of sea lice on the marine survival of Atlantic salmon. ICES Journal of Marine Science, doi.org/10.1093/icesjms/fsx104 (epub)
  18. Andrew W Bateman, Bradley R Anholt (2017) Maintenance of polygenic sex determination in a fluctuating environment: an individual‐based model. Journal of Evolutionary Biology 30(5):915-925
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