摘要
本文研究了具有变时滞的五种群Lotka-Volterra混合模型.通过使用泛函微分方程的单调流理论和Schauder不动点定理,获得了该系统的正周期解的存在性的充分条件,并建立了正周期解全局渐近稳定判别准则,改进和推广了已有的结果.
This article studies the 5-species Lotka-Volterra mixed system with time dependent delays.Utilizing the theory of RFDE’s monotone semiflow and the Schauder’s fixed point theorem,we obtain a suffcient condition for the existence of positive periodic solution and establish a criterion for its global asymptotic stability.We generalize and improve some known results.
出处
《数学杂志》
CSCD
北大核心
2011年第3期433-439,共7页
Journal of Mathematics
基金
Supported by the Natural Science Foundation of Anhui Provincial Education Bureau(KJ2009B091Z)
