一个具有时滞的广义的捕食者-食饵系统正周期解的存在性(英文)  

Existence of a positive periodic solutions for a generalized prey-predator system with delays

作　　者：吴新民[1] 李经文[1] 

机构地区：[1]邵阳学院数学系,湖南邵阳422000

出　　处：《黑龙江大学自然科学学报》2006年第4期512-518,共7页Journal of Natural Science of Heilongjiang University

基　　金：Foundation item:Supported by NNSF of China(10271044)

摘　　要：运用不等式技巧,获得了广义捕食者-食饵系统的先验估计,应用重合度理论的延拓定理,导出了一个具有时滞的广义的捕食者-食饵系统正周期解的存在性准则.A priori estimate for positive periodic solutions is obtained by using inequality technique. By Mawhin＇ s continuous theorem of coincidence degree theory, a criteria for the existence of a positive periodic solution of a generalized prey-predator system with time delays is obtained.

关 键 词：广义的捕食者-食饵系统 正周期解 时滞 重合度理论的延拓定理 

分 类 号：O189.1[理学—数学]