Diffusion driven instability and Hopf bifurcation in spatial predator-prey model on a circular domain

Walid Abid, Radouane Yafia, M.A. Aziz-Alaoui, Habib Bouhafa and Azgal Abichou

Applied Mathematics and Computation, 2015, vol. 260, issue C, 292-313

Abstract: In this paper, we investigate theoretically and numerically a 2-D spatio-temporal dynamics of a predator-prey mathematical model which incorporates the Holling type II and a modified Leslie–Gower functional response and logistic growth of the prey. This system is modeled by a reaction diffusion equations defined on a disc domain {(x,y)∈R2/x2+y2Keywords: Predator-prey model; Local and global stability; Hopf and Turing bifurcation; Pattern formation; Chaos; Disc domain (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:260:y:2015:i:c:p:292-313

DOI: 10.1016/j.amc.2015.03.070

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