Stationary patterns of a diffusive predator-prey model with Crowley-Martin functional response

Shanshan Chen; Junjie Wei; Jinzhu Yu

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arXiv · 1701.02619

Stationary patterns of a diffusive predator-prey model with Crowley-Martin functional response

Shanshan Chen·Junjie Wei·Jinzhu Yu

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Abstract

A diffusive predator-prey system with predator interference and Neumann boundary conditions is considered in this paper. We derive some results on the existence and nonexistence of nonconstant stationary solutions. It is shown that there exist no nonconstant stationary solutions when the effect of the predator interference is strong or the conversion rate of the predator is large, and nonconstant stationary solutions emerge when the diffusion rate of the predator is large.

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BibTeX RIS

Shanshan Chen, Junjie Wei, Jinzhu Yu. 2017-01-10. Stationary patterns of a diffusive predator-prey model with Crowley-Martin functional response. https://arxiv.org/abs/1701.02619

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