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.

Downloads

Published

2016-03-22

Issue

Vol. 3 No. 1 (2016)

Section

Conference Contributions

License

The journal Biomath Communications is an open access journal. All published articles are immeditely available online and the respective DOI link activated. All articles can be access for free and no reader registration of any sort is required. No fees are charged to authors for article submission or processing. Online publications are funded through volunteer work, donations and grants.

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).