On travelling wave solutions of the diffusive Leslie–Gower model

We investigate the diffusive Leslie–Gower predator–prey model. Travelling wave solutions were found and a minimum wave speed relationship was derived. Linear stability analysis was performed in addition to full numerical simulation of the model. All travelling waves were found to be stable.

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Bibliographic Details
Published in:Applied mathematics and computation 2016-02, Vol.274, p.362-371
Main Authors: Safuan, Hamizah M., Towers, Isaac N., Jovanoski, Zlatko, Sidhu, Harvinder S.
Format: Article
Language:English
Subjects:
Predator–prey
Reaction–diffusion
Wave speed
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Description
Summary:We investigate the diffusive Leslie–Gower predator–prey model. Travelling wave solutions were found and a minimum wave speed relationship was derived. Linear stability analysis was performed in addition to full numerical simulation of the model. All travelling waves were found to be stable.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2015.10.088