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

Boundary value problems

Yanzhong Zhao¹ 

[1] Department of Basic Research, Qinghai University, Xining, China

关键词: predator-prey system;    cross-diffusion;    global solution;   

DOI  :  10.1186/1687-2770-2012-111

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY