Research

Publications

2009-10

Hamelin, F and Lewis, MA. (Dec 2009). A differential game theoretical analysis of mechanistic models for territoriality.  Journal of Mathematical Biology.

2008-2009

Eftimie, R., de Vries, G., Lewis, M.A. (2009). Weakly nonlinear analysis of a hyperbolic model for animal group formation. Journal of Mathematical Biology, DOI 10.1007/s00285-008-0209-8.

Hurford, A. (2009). GPS measurement error gives rise to spurious 1800 turning angles and strong directional biases in animal movement data.  PLoS ONE. May, 4(5): 1-10.

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.

McKenzie, H., Jerde, C., Visscher, D.R., Merrill, E.H., Lewis, M.A. (2009). Inferring linear feature use in the presence of GPS measurement error. Environmental & Ecological Statistics. DOI 10.1007/s10651-008-0095-7.

2007-2008

Babak, P. (2008). Boundary-value problem for density-velocity model of collective motion of organisms. Journal of Mathematical Analysis and Applications, 345: 258-275.

Lee, J.M., Hillen, T.J., & Lewis, M.A. (2008). Continuous Traveling Waves for Prey-Taxis. Bulletin of Mathematical Biology, 70: 654-676.

Malchow, H. & Hilker, F.M. (2007). Pattern formation in models of nonlinear plankton dynamics: a minireview. In Schröder B, Reuter H, Reineking B, eds., Multiple Scales in Ecology, Theorie in der Ökologie, vol. 13, Peter Lang Verlag, Frankfurt/M., pp. 3-20.

Malchow, H., Hilker, F.M., Siekmann, I., Petrovskii, S.V. & Medvinsky, A.B. (2008). Mathematical models of pattern formation in planktonic predation-diffusion systems: A review. In Aspects of Mathematical Modelling, Hosking RJ, Venturino E, eds. Birkhäuser, Basel, p1-26.

 

2006-2007

R. Eftimie, G. de Vries, M.A. Lewis, F. Lutscher. “Modeling group formation and activity patterns in self-organizing collectives of individuals.”  Bulletin of Mathematical Biology (2007): 69: 1537-1565.

R. Eftimie, G. de Vries, M.A. Lewis. “Complex spatial group patterns result from different animal communication mechanisms.”  Proceedings of the National Academy of Sciences (2007): 104: 6974–6979.

H. McKenzie. “Linear features impact predator-prey encounters: Analysis with first passage time,” (2006) MSc. Thesis, University of Alberta, September 2006.

E.G. Noonburg, L.A. Newman, M.A. Lewis, R.L. Crabtree, A.B. Potapov. “Sequential decision-making in a variable environment: Modeling elk movement in Yellowstone National Park as a dynamic game.”  Theoretical Population Biology  (2007): 71: 182–195.

 

Affiliated Researchers

  F. Lutscher, Ottawa;

A. Hurford, Queens;

  C. Jerde, Notre Dame;

R. Eftimie, McMaster;
  H. Malchow, Osnabrück, Germany;

I. Siekmann, Osnabrück, Germany;
  Evelyn Merrill, Alberta
Andrew Derocher, Alberta

  S.V. Petrovskii, Leicester, England

F. Hamelin, Rennes, France;
  A.B. Medvinsky, Russian Academy of Sciences, Moscow