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一类时滞非自治“食饵-捕食者”系统的持续性和全局稳定性
Global stability and persistence of delayed nonautonomous predator-prey system
【摘要】 研究一个不含负反馈的时滞非自治三物种的“食饵-捕食者”Lotka-Volterra系统,旨在证明,在适当条件下,此系统是一致持续的,通过构造一个合适的Lyapunov泛函方程组,我们可以证明此系统的全局稳定性。
【Abstract】 A delayed nonautonomous three-species predator-prey Lotka-Volterra system without dominating instantaneous negative feedback is investigated. It is proved that the system is uniformly persistent under appropriate conditions. By constructing a suitable Lyapunov functional, sufficient conditions are derived for the glabal stability of system.
【关键词】 一致持续生存;
全局稳定性;
时滞;
Lyapunov泛函方程组;
【Key words】 uniform persistence; global stability; delay; Lyapunov functional;
【Key words】 uniform persistence; global stability; delay; Lyapunov functional;
- 【文献出处】 湖北师范学院学报(自然科学版) ,Journal of Hubei Normal University(Natural Science) , 编辑部邮箱 ,2006年01期
- 【分类号】O175.13;Q141
- 【下载频次】49