非自治的带有连续时滞的Lotka-volterra竞争模型分析  

The Analysis of a Nonautonomous Lotka-volterra Competition Model with Continous Delays

作　　者：梁建秀[1] 

机构地区：[1]山西省晋中学院数学学院,山西晋中030600

出　　处：《生物数学学报》2013年第3期505-508,共4页Journal of Biomathematics

基　　金：山西省教育厅高校研究与开发项目(200811053)

摘　　要：考虑非自治的具有周期系数的Lotka-volterra两种群时滞摸型,首先在讨论其一致持续生存的条件时,避免了构造持续生存函数的困难,利用微分不等式的方法证明了连续时滞不影响种群的一致持续生存,通过构造李亚普诺夫泛函获得了正周期解存在与全局渐近稳定的充分条件.In this paper,a nonautonomous Two-species competition model with continous delays is studied.First,it is shown that model is uniform persistence under some appropriate conditions by the method of differential Inequation.Secondly,sufficient conditions are established the existence of a positive periodic solution which is global asymptotic stability by constructing Lyapunov functional.

关 键 词：一致持续生存 时滞 正周期解 全局渐近稳定 

分 类 号：O175.26[理学—数学]