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

Authors

  • Joel Nimyel Ndam University of Jos
  • Stephen Dung University of Jos

DOI:

https://doi.org/10.11145/bmc.2016.12.277

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 results also indicate the occurrence of a saddle-node bifurcation in the case with density-dependent diffusion coefficient. The basins of attraction in both cases are functions of the wave speedВ  and is still a subject for further investigation.

Author Biographies

Joel Nimyel Ndam, University of Jos

I am a Senior Lecturer in the Department of Mathematics of the University of Jos.

Stephen Dung, University of Jos

Postgraduate student in the department of Mathematics, University of Jos.

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Published

2017-01-31

Issue

Vol. 3 No. 2 (2016)

Section

Articles

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