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周期系数三种群Lotka-Volterra混合模型分析
引用本文:陆忠华,陈兰荪.周期系数三种群Lotka-Volterra混合模型分析[J].纯粹数学与应用数学,1995(2).
作者姓名:陆忠华  陈兰荪
作者单位:西安统计学院,中国科学院
摘    要:考虑三种群Lotka-Volterra周期系数模型,种群间既有捕食关系又有竞争关系,得到唯一存在全局渐近稳定周期解的条件,并举例说明条件的可行性.

关 键 词:周期解,全局渐近稳定

ANALYSIS OF THE PERIODIC LOTKA-VOLTERRA THREE SPECIES MIXED MODEL
Lu Zhonghua.ANALYSIS OF THE PERIODIC LOTKA-VOLTERRA THREE SPECIES MIXED MODEL[J].Pure and Applied Mathematics,1995(2).
Authors:Lu Zhonghua
Abstract:The periodic Lotka-Volterra three species model is considered, with both competitive and predator-prey relationships.A set of easily verifiable sufficient conditions is obtained for the existence of the globally asymptotically stable periodic solution.An example is given in order to show the feasibility of those conditions.
Keywords:periodic solution  globally asymptotically stable  
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