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: Department of Mathematics and Physics, Xian Technological University, Xian 710032

会议类型: 国际会议

会议名称: The 1st International ELID-Grinding Conference(第一届镜面磨削技术国际会议)

会议地点: 长沙

会议语种:英文

页码: 619-624

在线出版日期: 2008-06-12（万方平台首次上网日期，不代表论文的发表时间）