Title

A Strongly Coupled Predator-Prey System With Non-Monotonic Functional Response

Keywords

Cross-diffusion; Non-constant positive steady states; Predator-prey model

Abstract

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. © 2006 Elsevier Ltd. All rights reserved.

Publication Date

9-15-2007

Publication Title

Nonlinear Analysis, Theory, Methods and Applications

Volume

67

Issue

6

Number of Pages

1966-1979

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.na.2006.08.022

Socpus ID

34247352486 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/34247352486

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