非自治竞争扩散时滞系统的持久性和全局吸引性  

Permanence and Global Attractivity of the Nonautonomous Competition Dispersion-Delay Model

作　　者：鲁红英[1] 

机构地区：[1]东北财经大学数学与数量经济学院,辽宁大连116025

出　　处：《吉林师范大学学报（自然科学版）》2008年第2期13-15,36,共4页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金(10171010);教育部重点项目资助的课题(01061)

摘　　要：本文研究了具有Ⅱ类功能性反应和连续时滞的非自治Lotka-Volterra竞争扩散系统.本文结合运用微分方程的比较定理和构造Liapunov函数,得到该系统是持久的和全局渐近稳定的充分条件.A nonautonomous competition dispersion ecological system with functional response and continuous time delay is proposed in this paper. By applying the comparison theorem of the differential equation and constructing the suitable Lyapunov fundtion, sufficient conditions which guarantee the permanence and the global attractivity of the system are obtained.

关 键 词：时滞 扩散 持久性 LIAPUNOV函数 全局渐近稳定性 

分 类 号：O175.12[理学—数学]