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A strongly coupled predator–prey system with non-monotonic functional response

✍ Scribed by Xinfu Chen; Yuanwei Qi; Mingxin Wang

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
330 KB
Volume
67
Category
Article
ISSN
0362-546X

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✦ Synopsis

The predator-prey system with non-monotonic functional response is an interesting field of theoretical study. In this paper we consider a strongly coupled partial differential equation model with a non-monotonic functional response-a Holling type-IV function in a bounded domain with no flux boundary condition. We prove a number of existence and non-existence results concerning non-constant steady states (patterns) of the underlying system. In particular, we demonstrate that cross-diffusion can create patterns when the corresponding model without cross-diffusion fails.

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