时滞扩散和功能性反应捕食系统的全局稳定性  

Global stability for a diffusive predator-prey model with time delay and Holling Ⅲ functional response

作　　者：余士跃[1] 郑唯唯[1] 赵磊[1] 

机构地区：[1]西安工程大学理学院,陕西西安710048

出　　处：《纺织高校基础科学学报》2012年第4期421-424,共4页Basic Sciences Journal of Textile Universities

基　　金：陕西省教育厅自然科学基金资助项目(11JK0502)

摘　　要：研究了一类具有时滞扩散和HollingⅢ类功能反应的非自治捕食系统.利用微分方程定性与稳定性理论,得到了系统一致持久的充分条件.通过构建Liapunov函数,运用Barbalart引理,得到对应周期系统存在惟一全局渐近稳定正周期解的充分条件.In this paper, a nonautonomous predator-prey system model with delay and Holling Ⅲfunc- tional response is studied. The qualitative and stability theory of ordinary differential equation were ap- plied and the sufficient conditions of uniform persistence for the system are obtained. Then, by building the Liapunov function, Barbalart lemma is used and the sufficient conditions for the existence of global asymptotic stability periodic solutions which corresDonding cvele system ore gnt

关 键 词：时滞 扩散 HollingⅢ类功能反应 持久性 全局渐近稳定 

分 类 号：O175.13[理学—数学]