一类食饵具有性别结构的非自治两种群捕食系统研究  

Study on a nonautonomous system of two species predator-prey system with sex-stucture of prey

作　　者：徐长永[1] 王美娟[2] 刘妍[2] 鲁铁军[2] 

机构地区：[1]上海第二工业大学经济管理学院,上海201209 [2]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2008年第5期449-455,共7页Journal of University of Shanghai For Science and Technology

摘　　要：讨论了一类具有食饵补充且食饵具有性别结构、捕食者具有阶段结构的非自治捕食者-食饵系统.运用Liapunov函数方法,得到了该系统一致持续生存的充分条件.该模型的周期系统在适当的条件下存在唯一、全局渐近稳定的周期解.对更具普遍意义的概周期系统,也得出了概周期正解唯一存在且全局渐近稳定的充分条件.A kind of nonautonomous system of two species predator-prey system with sex-stucture of prey and holding prey supplement is considered. The sufficient conditions are obtained for guaranteeing the permanence of the system by Liapunov method. Then the existence and uniqueness of the positive periodic solutions and positive almost periodic solutions for corresponding periodic system and almost periodic systems are also discussed.

关 键 词：捕食者-食饵系统 阶段结构 性别结构 持续生存 周期解 概周期解 

分 类 号：O175[理学—数学]