| 时标上具有阶段结构的三种群捕食系统的周期解 |
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| 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,2013,30(1):5-11. |
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| 作者姓名： | 徐昌进 |
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| 作者单位： | 贵州财经大学经济系统仿真重点实验室,贵州贵阳,550004 |
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| 基金项目： | 国家自然科学基金，贵州省省长基金，贵州省科技厅软科学项目，贵州省科技厅自然科学基金(J[2012]2100).贵州财经学院博士科研启动项目 |
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| 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.
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| 关 键 词： | 时标 捕食系统 周期解 Beddington-DeAngelis类功能反应 HollingIV类功能反应 重合度 |
Periodic Solutions for a Three Species Predator-prey System with Stage-structure on Time Scales |
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| XU Chang-jin.Periodic Solutions for a Three Species Predator-prey System with Stage-structure on Time Scales[J].Mathematics in Economics,2013,30(1):5-11. |
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| Authors: | XU Chang-jin |
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| Institution: | XU Chang-jin (Guizhou Key Laboratory of Economics System Simulation,School of Mathematics and Statistics, Guizhou Unvisity of Finance and Economics,Guiyang,Guizhou 550004,China) |
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| 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. |
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| Keywords: | wordstime scales predator-prey periodic solution Beddington-DeAngelis functional response Holling IV functional response coincidence degree |
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