Positive Periodic Solutions of Nonautonomous Lotka-Volterra Dispersal System with Delays

摘要：

In this paper, a general class of nonautonomous Lotka-Volterra dispersal system with discrete and continuous infinite delays is investigated. This class of Lotka-Volterra systems model the diffusion of a single species into n patches by discrete dispersal. By using Schauders fixed point theorem, we prove the existence of positive periodic solutions of system. The global asymptotical stability of positive periodic solution is discussed and the sufficient conditions for exponential stability are also given, we give an example to illustrate the validity of the results in the end. The conditions we obtained are more general and it can be extended to several special systems.

关键词： Lotka-Volterra dispersal system Positive periodic solutions Schauders fixed point theorem Global asymptotical stability Global exponential stability

作者: Ting Zhang Minghui Jiang Bin Huang

作者单位: Institute of Nonlinear and Complex System, China Three Gorges University,YiChang.Hubei 443002, China

会议类型: 国际会议

会议名称: International Conference on Life System Modeling and Simulation,and International Conference on Intelligent Computing for Sustainable Energy and Environment(2010生命系统建模与仿真国际会议暨m2010可持续能源与环境智能计算国际会议)

会议地点: 无锡

会议语种:英文

页码: 497-505

在线出版日期: 2010-09-17（万方平台首次上网日期，不代表论文的发表时间）