时标上具有阶段结构的三种群捕食系统的周期解

徐昌进

时标上具有阶段结构的三种群捕食系统的周期解

引用本文：徐昌进.时标上具有阶段结构的三种群捕食系统的周期解[J].经济数学,2013,(1):5-11

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作者	单位
徐昌进	（贵州财经大学经济系统仿真重点实验室, 贵州贵阳 550004）

中文摘要:研究了时标上具有阶段结构的三种群捕食系统.运用时标上连续拓扑度定理,得到了系统存在周期解的充分条件.其研究方法使系统的连续时间情形和离散时间情形的周期解问题得到了统一，被广泛地应用来研究微分方程和差分方程的周期解的存在问题.

中文关键词:时标捕食系统周期解 Beddington-DeAngelis 类功能反应 Holling IV类功能反应重合度

Periodic Solutions for a Three Species Predator-prey System with Stage-structure on Time Scales

Abstract:The existence of periodic solutions to a three species predator-prey system with stage-structure was studied by applying the continuation theorem based on coincidence degree theory on time scales.Some sufficient conditions were obtained for the existence of periodic solution. The approach was used to unify the existence of the desired solutions for the continuous differential equations and discrete difference equations has been widely applied to investigate the existence of periodic solutions in differential equations and difference equations.

keywords:wordstime scales predator-prey periodic solution Beddington-DeAngelis functional response Holling IV functional response coincidence degree

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