A Mathematical Model for the Propagation of an Animal Species on a Plain

Joel Nimyel Ndam*, S. Dung


A mathematical model for the dynamics of an animal species propagating on a plain is constructed. Travelling wave solutions are then sought for two cases, the case with constant diffusion coefficient and that with density-dependent diffusion coefficient. The results show the existence of travelling wave solutions in both cases. The existence of travelling wave solutions for the two-dimensional model is important as it captures more realistically the physical interactions of species in a habitat.The minimum wave speeds as well as the basins of attraction were determined. The biological significance of the basins of attraction are outlined and is still a subject for further investigation.

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DOI: http://dx.doi.org/10.11145/cb.v3i1.604

ISSN 2367-5233 (print)
ISSN 2367-5241 (online)