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具有HollingⅢ类功能性反应的基于比率的离散Leslie捕食者-食饵模型正周期解的存在性
引用本文:高建国.具有HollingⅢ类功能性反应的基于比率的离散Leslie捕食者-食饵模型正周期解的存在性[J].西北民族学院学报,2005,26(2):10-15.
作者姓名:高建国
作者单位:西北第二民族学院信息与计算科学系,宁夏银川750021
摘    要:讨论一类具有HollingⅢ类功能性反应的基于比率的离散周期Leslie捕食者-食饵系统,利用重合度理论中的延拓定理,得到了该系统正周期解的存在性判据.

关 键 词:HollingⅢ类功能性反应  比率依赖  正周期解  Leslie捕食者-食饵系统
文章编号:1009-2102(2005)02-0010-06
修稿时间:2004年12月1日

Existence of Positive Periodic Solution of a Ratio-Dependent Discrete Time Leslie Predator-Prey Model with Holling Ⅲ Type Functional Response
GAO Jian-guo.Existence of Positive Periodic Solution of a Ratio-Dependent Discrete Time Leslie Predator-Prey Model with Holling Ⅲ Type Functional Response[J].Journal of Northwest Minorities University(Natural Science ),2005,26(2):10-15.
Authors:GAO Jian-guo
Abstract:the existence of positive periodic solution were studied for a discrete time nonautonomous Leslie predator-prey model with ratio-dependent Holling Ⅲ type functional response by using a continuation theorem based on coincidence degree theory, and sufficient conditions were obtained for the existence of positive periodic solution.
Keywords:Holling Ⅲ type functional response  Ratio-dependent  positive periodic solution  Leslie predator-prey system
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