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

Authors

  • Joel Nimyel Ndam* University of Jos.
  • S. Dung

DOI:

https://doi.org/10.11145/cb.v3i1.604

Abstract

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.

Author Biography

Joel Nimyel Ndam*, University of Jos.

Senior Lecturer in the Department of Mathematics.

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Published

2016-03-22

Issue

Section

Conference Contributions