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Open Access Research

Global behavior for a diffusive predator-prey system with Holling type II functional response

Yanzhong Zhao

Author Affiliations

Department of Basic Research, Qinghai University, Xining, 810016, China

Boundary Value Problems 2012, 2012:111  doi:10.1186/1687-2770-2012-111

Published: 9 October 2012

Abstract

A strongly coupled self- and cross-diffusion predator-prey system with Holling type II functional response is considered. Using the energy estimate, Sobolev embedding theorem and bootstrap arguments, the global existence of non-negative classical solutions to this system in which the space dimension is not more than five is obtained.

MSC: 35K50, 35K55, 35K57, 92D40.

Keywords:
predator-prey system; cross-diffusion; global solution