系数含时滞的阶段结构捕食模型的稳定性  

Stability of Stage Structured Predator-prey Model with Delay Dependent Parameters

作　　者：胡宝安[1] 刘俊峰[1] 李亚玲[1] 

机构地区：[1]军事交通学院基础部,天津300161

出　　处：《温州大学学报（自然科学版）》2012年第2期1-7,共7页Journal of Wenzhou University(Natural Science Edition)

摘　　要：研究一类系数含时滞的阶段结构捕食系统,分析了平衡点的局部稳定性,给出了边界平衡点(1,0)全局渐近稳定的充要条件和系统一致持续生存的充分条件,证明了正平衡点局部渐近稳定则全局渐近稳定的结论.A class of stage structured predator-prey model with delay dependent parameters was studied.After local stability of equilibriums point being analyzed,accompanied by sufficient condition for system＇s uniform persistence,necessary and sufficient conditions for the global asymptotical stability of the boundary equilibrium（1,0） were given.Results showed that the locally asymptotically stable in positive equilibrium point decides the global asymptotical stability.

关 键 词：阶段结构捕食模型 时滞 稳定性 

分 类 号：O175.14[理学—数学]