A strongly coupled predator-prey system with non-monotonic functional response
Abbreviated Journal Title
Nonlinear Anal.-Theory Methods Appl.
cross-diffusion; predator-prey model; non-constant positive steady; states; CROSS-DIFFUSION; GROUP DEFENSE; MODEL; ENRICHMENT; BEHAVIOR; KINETICS; PARADOX; Mathematics, Applied; Mathematics
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.
Nonlinear Analysis-Theory Methods & Applications
"A strongly coupled predator-prey system with non-monotonic functional response" (2007). Faculty Bibliography 2000s. 6943.