Title
A strongly coupled predator-prey system with non-monotonic functional response
Abbreviated Journal Title
Nonlinear Anal.-Theory Methods Appl.
Keywords
cross-diffusion; predator-prey model; non-constant positive steady; states; CROSS-DIFFUSION; GROUP DEFENSE; MODEL; ENRICHMENT; BEHAVIOR; KINETICS; PARADOX; Mathematics, Applied; Mathematics
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. (C) 2006 Elsevier Ltd. All rights reserved.
Journal Title
Nonlinear Analysis-Theory Methods & Applications
Volume
67
Issue/Number
6
Publication Date
1-1-2007
Document Type
Article
Language
English
First Page
1966
Last Page
1979
WOS Identifier
ISSN
0362-546X
Recommended Citation
"A strongly coupled predator-prey system with non-monotonic functional response" (2007). Faculty Bibliography 2000s. 6943.
https://stars.library.ucf.edu/facultybib2000/6943
Comments
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