引用本文:谢胜利 ,刘永清, 谢振东.具有放牧率的两种群竞争扩散模型的概周期解及其稳定性[J].控制理论与应用,1997,14(1):27~33.[点击复制]
XIE Shengli,LIU Yongqing,XIE Zhendong.Existence and Stability for Almost Periodic Solution of Competition Models with Grazing Rates[J].Control Theory and Technology,1997,14(1):27~33.[点击复制]
具有放牧率的两种群竞争扩散模型的概周期解及其稳定性
Existence and Stability for Almost Periodic Solution of Competition Models with Grazing Rates
摘要点击 1027  全文点击 423  投稿时间:1995-12-04  修订日期:1996-06-10
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DOI编号  
  1997,14(1):27-33
中文关键词  放牧率  扩散  竞争模型  概周期解  稳定性
英文关键词  competition model grazing rates almost periodic solution reaction-diffusion stability
基金项目  
作者单位
谢胜利 ,刘永清, 谢振东 华南理工大学自动化系 
中文摘要
      本文对具有放牧率的两种群竞争扩散模型的概周期进行了讨论经,采用比较原理、Schauder不动点定理及Lyapunov函数方法,得到了空间齐次概周期的存在性和稳定性的一些简捷的充分条件。
英文摘要
      The problem of existence and stability for almost periodic solution of competition model withgrazing rates and diffusion in population dynamics is discussed by methods of comparison theory, Schauder's fixed point theorem and Lyapunov function. The sufficient conditions are obtained for the existence of aglobally asymptotically stable strictly positive space homogenous almost periodoic solution.