Global Asymptotic Behavior of n-patches Nonautonomous Predator-Prey System with Nonlinear Diffusion

摘要：

In this paper, we investigate a n-patches nonautonomous predator-prey system with nonlinear diffusion. By the comparison theorem, the sufficient conditions are derived for uniform persistence of the system. We also prove the existence of positive periodic solution of the system by using Schauders fixed point theorem. Furthermore, the sufficient conditions for global asymptotical stability of positive periodic solution are obtained by constructing an appropriate Lyapunov function. The conditions we obtained are more general. We also give the ecology interpretation to our results.

关键词： Nonlinear diffusion Uniform persistence Positive periodic solution Global asymptotical stability

作者: Futian Yu Minghui Jiang Weirong Yuan

作者单位: Institute of nonlinear complex system China Three Gorges University Yichang, Hubei 443002, China

会议类型: 国际会议

会议名称: 2011 Third International Conference on Intelligent Human-Machine Systems and Cybernetics 第三届智能人机系统与控制论国际会议 IHMSC 2011

会议地点: 杭州

会议语种:英文

页码: 424-427

在线出版日期: 2011-08-26（万方平台首次上网日期，不代表论文的发表时间）