REFEREED JOURNAL PUBLICATIONS

 

[42] (with Junping Shi, Chuncheng Wang, Xiangping Yan), Diffusive spatial movement with memory, in review.

[41] (with Lulu Wang, Zhen Jin), A switching model for the impact of toxins on the spread of infectious diseases, Journal of Mathematical Biology, in press (2018).

[40] (with Jude D. Kong, Christina Tadiri, Gregor Fussmann, Marilyn Scott), A data-validated mathematical model for guppy-gyrodactylus interactions, preprint.

[39] (with Silogini Thanarajah, Philippe Gaudreau), Refuge-mediated predator-prey dynamics and biomass pyramids, Mathematical Biosciences, Vol. 298: 29-45 (2018).

[38] (with Jude D. Kong, Tariq Siddique, Julia Foght, Mark A. Lewis), Mathematical model predicting methane emissions from oil sands tailings ponds and end pit lakes, preprint.

[37] (with Jude D. Kong, Paul Salceanu), A stoichiometric organic matter decomposition model in a chemostat culture, Journal of Mathematical Biology, Vol. 76: 609-644 (2018).

[36] (with Qihua Huang, Mark A. Lewis), A hybrid continuous/discrete-time model for invasion dynamics of zebra mussels in rivers, SIAM Journal on Applied Mathematics, Vol. 77: 854-880 (2017).

[35] (with Tian Xie, Xianshan Yang, Xiong Li), Complete global and bifurcation analysis of a stoichiometric predator-prey model, Journal of Dynamics and Differential Equations, in press (2017).

[34] (with Mostafa Fazly, Mark A. Lewis), On impulsive reaction-diffusion models in higher dimensions, SIAM Journal on Applied Mathematics, Vol. 77: 224-246 (2017).

[33] (with Jinhuo Luo, Jin Wang), Seasonal forcing and exponential threshold incidence in cholera dynamics, Discrete and Continuous Dynamical System Series B, Vol. 22: 2261-2290 (2017).

[32] (with Angela Peace, Monica D. Poteat), Somatic growth dilution of a toxicant in a predator-prey model under stoichiometric constraints, Journal of Theoretical Biology, Vol. 407: 198-211 (2016).

[31] (with Xianshan Yang, Xiong Li, Yang Kuang), Stability and bifurcation in a stoichiometric producer-grazer model with knife edge, SIAM Journal on Applied Dynamical Systems, Vol. 15: 2051-2077 (2016).

[30] (with Qihua Huang), A toxin-mediated size-structured population model: finite difference approximation and well-posedness, Mathematical Biosciences and Engineering, Vol. 13: 697-722 (2016).

[29] (with Qihua Huang, Anthony Ricciardi, Mark A. Lewis), Temperature- and turbidity-dependent competitive interactions between invasive freshwater mussels, Bulletin of Mathematical Biology, Vol. 78: 353-380 (2016).

[28] (with Jude D. Kong, Chaochao Jin), The inverse method for a childhood infectious disease model with its application to pre-vaccination and post-vaccination measles data, Bulletin of Mathematical Biology, Vol. 77: 2231-2263 (2015).

[27] (with Maryam Khajeh Alijani, James J. Elser), Modeling the bacterial contribution to planktonic community respiration in the regulation of solar energy and nutrient availability, Ecological Complexity, Vol. 23: 25-33 (2015).

[26] (with Qihua Huang, Mark A. Lewis), The impact of environmental toxins on predator-prey dynamics, Journal of Theoretical Biology, Vol. 378: 12-30 (2015).

[25] (with Jude D. Kong, William Davis, Xiong Li), Stability and sensitivity analysis of the iSIR model for indirectly transmitted infectious diseases with immunological threshold, SIAM Journal on Applied Mathematics, Vol. 74: 1418-1441 (2014).

[24] (with Angela Peace, Yang Kuang), Dynamics of a producer-grazer model incorporating the effects of excess food-nutrient content on grazer’s growth, Bulletin of Mathematical Biology, Vol. 76: 2175-2197 (2014).

[23] (with Jude D. Kong, William Davis), Dynamics of a cholera transmission model with immunological threshold and natural phage control in reservoir, Bulletin of Mathematical Biology, Vol. 76: 2025-2051 (2014). 

[22] (with Xiong Li, Zheng Zhang, Alan Hastings), Mathematical analysis of coral reef models, Journal of Mathematical Analysis and Applications, Vol. 416: 352-373 (2014).

[21] (with Michael Li, Xihui Lin), Global Hopf branches and multiple limit cycles in a delayed Lotka-Volterra predator-prey model, Discrete and Continuous Dynamical System Series B, Vol. 19: 747-760 (2014).

[20] (with Nicholas Piazza), Bifurcation and sensitivity analysis of immunity duration in an epidemic model, International Journal of Numerical Analysis and Modeling – Series B, Vol. 4: 179-202 (2013).

[19] (with Qihua Huang, Laura Parshotam, Caroline Bampfylde, Mark A. Lewis), A model for the impact of contaminants on fish population dynamics, Journal of Theoretical Biology, Vol. 334: 71-79 (2013).

[18] (with Silogini Thanarajah), Competition of motile and immotile bacterial strains in a petri dish, Mathematical Biosciences and Engineering, Vol. 10: 399-424 (2013).

[17] (with Xihui Lin), Stability analysis of delay differential equations with two discrete delays, The Canadian Applied Mathematics Quarterly, Vol. 20: 519-533 (2012).

[16] (with Robert W. Sterner, James J. Elser), On the "strict homeostasis" assumption in ecological stoichiometry, Ecological Modelling, Vol. 243: 81-88 (2012).

[15] (with Silogini Thanarajah), Competition of fast and slow movers for renewable and diffusive resource, Canadian Applied Mathematics Quarterly, Vol. 20: 75-88 (2012).

[14] (with Michael Li, Xihui Lin), Global Hopf branches in a delayed model for immune response to HTLV-1 infections: coexistence of multiple limit cycles, Canadian Applied Mathematics Quarterly, Vol. 20: 39-50 (2012).

[13] (with Abhinav Singh, Wendy Morrison, Howie Weiss), Modeling fish biomass structure at near pristine coral reefs and degradation by fishing, Journal of Biological Systems, Vol. 20: 21-36 (2012).

[12] (with Mark Pollicott, Howie Weiss), Extracting the time-dependent transmission rate from infection data via solution of an inverse ODE problem, Journal of Biological Dynamics, Vol. 6: 509-523 (2012).

[11] (with Xiong Li, Yang Kuang), Global analysis of a stoichiometric producer-grazer model with Holling type functional responses, Journal of Mathematical Biology, Vol. 63: 901-932 (2011).

[10] Revisit brown lemming population cycles in Alaska: examination of stoichiometry, IJNAM-B, Vol. 1: 93-108 (2010).

[9] (with Xiong Li), A stoichiometrically derived algal growth model and its global analysis, Mathematical Biosciences and Engineering, Vol. 7: 825-836 (2010).

[8] (with John Nagy, Olivier Gilg, Yang Kuang), The roles of predator maturation delay and functional response in determining the periodicity of predator-prey cycles, Mathematical Biosciences, Vol. 221: 1-10 (2009).

[7] (with Katherine Dunning, James J. Elser, Yang Kuang), Daphnia species invasion, competitive exclusion, and chaotic coexistence, Discrete and Continuous Dynamical System Series B, Vol. 12: 481-493 (2009).

[6] (with Lin Jiang, Joshua S. Weitz), Bacterivorous grazers facilitate organic matter decomposition: a stoichiometric modeling approach, FEMS Microbiology Ecology, Vol. 69: 170-179 (2009).

[5] (with Wendy Morrison, Abhinav Singh, Howie Weiss), Modeling inverted biomass pyramids and refuges in ecosystems, Ecological Modelling, Vol. 220: 1376-1382 (2009).

[4] (with Richard I. Joh, Howie Weiss, Joshua S. Weitz), Dynamics of indirectly transmitted infectious diseases with immunological threshold, Bulletin of Mathematical Biology, Vol. 71: 845-862 (2009).

*Featured in Research Horizons of Georgia Tech, Volume 25, Number 3, page 14 (2008)

[3] (with Yang Kuang, Irakli Loladze), Dynamics of a mechanistically derived stoichiometric producer-grazer model, Journal of Biological Dynamics, Vol. 2: 286-296 (2008).

[2] (with Hal Smith, Yang Kuang, James J. Elser), Dynamics of stoichiometric bacteria-algae interactions in the epilimnion, SIAM Journal on Applied Mathematics, Vol. 68: 503-522 (2007).

[1] (with Yang Kuang), Alternative models for moss-lemming dynamics, Mathematical Biosciences and Engineering, Vol. 4: 85-99 (2007).

*Cover illustration in Mathematical Biosciences and Engineering

 

                       OTHER PUBLICATIONS

 (with Wenlong Wang), Elementary Algebra Exercise Book II, ISBN: 978-87-403-1297-3, Ventus Publishing (2016). *A supplemental material with 42 multi-choice questions

 (with Qihua Huang, Mark A. Lewis), Development of a Toxin-Mediated Predator-Prey Model Applicable to Aquatic Environments in the Athabasca Oil Sands Region. Oil Sands Research and Information Network (OSRIN), University of Alberta, School of Energy and the Environment, Edmonton, Alberta. OSRIN Technical Report (2014).

 (with Wenlong Wang), Elementary Algebra Exercise Book I, ISBN: 978-87-403-0315-5, Ventus Publishing (2013). *A supplemental material with 42 multi-choice questions

 Mathematical Modeling I - preliminary, ISBN: 978-87-403-0248-6, Ventus Publishing (2012).

 (with Mark A. Lewis), Evaluation for "Do invasive species show higher phenotypic plasticity than native species and, if so, is it adaptive? A meta-analysis. Ecology Letters, Vol. 14", Faculty of 1000 Biology (2011).

 (with Mark A. Lewis), Evaluation for "A Model for Plant Invasions: the Role of Distributed Generation Times. Bulletin of Mathematical Biology, Vol. 71", Faculty of 1000 Biology (2010).

 (with Mark A. Lewis), Evaluation for "Functional trait assembly through ecological and evolutionary time. Theoretical Ecology, Vol. 2", Faculty of 1000 Biology (2010).

 (with Mark A. Lewis), Evaluation for "Stability and Bifurcations in an Epidemic Model with Varying Immunity Period. Bulletin of Mathematical Biology, Vol. 72", Faculty of 1000 Biology (2010).