Positive Steady States of a Predator-prey System with Monod-Haldane Functional Response and Cross-diffusion

摘要：

In this paper,we consider a strongly coupled partial differential equation system with Monod-Haldane functional response in a bounded domain with no flux boundary condition.Some priori estimates for steady states solutions are obtained by Harnack Inequality and Maximum Principle.A number of existence and non-existence results concerning non-constant positive steady-states of the system were proved.In particular,we demonstrate that cross-diffusion can create patterns when the corresponding system without cross-diffusion fails.

关键词： cross-diffusion predator-prey system positive steady states

作者: Xiaozhou Feng

作者单位: College of Mathematics and Information Science,Shaanxi Normal University,Xian 710062; Department of Mathematics and Physics,Xian Technological University,Xian 710032

会议类型: 国际会议

会议名称: 中国数学会生物数学分会第六届学术年会

会议地点: 山东泰安

会议语种:英文

页码: 619-624

在线出版日期: 2008-07-25（万方平台首次上网日期，不代表论文的发表时间）