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.
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)
关键词
一致持续生存
时滞
正周期解
全局渐近稳定
Uniform persistence
Delays
Positive periodic solution
Global asymptotic stable
