Existence of positive solution for a cross-diffusion predator-prey system with Holling type-II functional response

Chenglin Li

Chaos, Solitons & Fractals, 2017, vol. 99, issue C, 226-232

Abstract: This paper is purported to investigate a cross-diffusion system arising in a predator-prey population model including Holling type-II functional response in a bounded domain with Dirichlet boundary condition. The asymptotical stabilities are investigated to this system by using the method of eigenvalue. Moreover, the existence of positive steady states are considered by using fixed points index theory, bifurcation theory, energy estimates and the differential method of implicit function.

Keywords: Stability; Existence; Bifurcation (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:99:y:2017:i:c:p:226-232

DOI: 10.1016/j.chaos.2017.04.001

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