具有Holling Ⅲ类功能反应捕食系统收获模型的持久性  

Persistence for the harvest predator-prey system with Holling Ⅲ functional response

作　　者：肖琳[1] 郑唯唯[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425-428,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：研究了一类具有双线性密度制约Holling Ⅲ类功能反应的非自治捕食收获系统模型.利用比较原理,得到系统一致持久的充分条件.通过构建Liapunov函数,运用Barbalart引理,得到了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 with double linear density restriction and HoUingⅢ functional response which has harvest is studied. By using the comparison principle, the suffi- cient conditions of uniform persistence for the system are obtained. By structuring the Liapunov function and using Barbalart lemma, the sufficient conditions of the existence and uniqueness of periodic solutions corresponding the cycle system which are the ~lobal asymptotic stability are got.

关 键 词：一致持久性 HollingⅢ类功能反应 全局渐近稳定 双线性密度制约 

分 类 号：O175.14[理学—数学]