| 时标上一捕食二食饵系统的周期解（英文） |
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| 引用本文： | 徐昌进,陈大学.时标上一捕食二食饵系统的周期解（英文）[J].生物数学学报,2011(4):644-656. |
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| 作者姓名： | 徐昌进 陈大学 |
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| 作者单位： | 贵州省经济系统访真重点实验室数学与统计学院贵州财经学院;湖南工程学院理学院; |
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| 基金项目： | National Natural Science Foundation of China(No.10771215); The Scientific Research Fund of Hunan Provincial Education Department(No.10C0560); The Science and Technology Program of Hunan Province(No.2010FJ6021); The Scientific Research Initializing Foundation of Hunan Institute of Engineering(No.0744) |
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| 摘 要： | 研究时标上一捕食二食饵系统.运用时标上Gaines和Mawhin的连续拓扑度定理,得到了系统存在周期解的新的充分条件.其研究方法可以广泛地运用来研究微分或者差分方程的周期解存在性问题.
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| 关 键 词： | 时标 食饵-捕食者系统 周期解 重合度 |
Periodic Solutions of a Two-Prey One Predator System on Time Scales |
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| XU Chang-jin CHEN Da-xue.Periodic Solutions of a Two-Prey One Predator System on Time Scales[J].Journal of Biomathematics,2011(4):644-656. |
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| Authors: | XU Chang-jin CHEN Da-xue |
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| Institution: | XU Chang-jin~1 CHEN Da-xue~2 (1 Guizhou Key Laboratory of Economics System Simulation,School of Mathematics and Statistics,Guizhou College of Finance and Economics,Guiyang Guizhou 550004 China) (2 Faculty of Science,Hunan Institute of Engineering,Xiangtan Hunan 411004 China) |
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| Abstract: | In this paper,the existence of periodic solutions to a two-prey one predator system is investigated by using the Gaines and Mawhin's continuation theorem of coincidence degree theory on time scales.New sufficient conditions are obtained for the existence of periodic solutions.The approach is unified to provide the existence of the desired solutions for the continuous differential equations and discrete difference equations.It has been widely applied to study existence of periodic solutions in differential e... |
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| Keywords: | Time scales Predator-prey system Periodic solution Coincidence degree |
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