| 时标上一类非自治捕食系统的周期解(英文) |
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| 引用本文： | 徐昌进,张千宏. 时标上一类非自治捕食系统的周期解(英文)[J]. 应用数学, 2012, 25(1): 110-117 |
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| 作者姓名： | 徐昌进 张千宏 |
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| 作者单位： | 贵州财经学院,贵州省经济系统仿真重点实验室,贵州贵阳550004 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10961008);the Doctoral Foundation of Guizhou College of Finance and Economics(2010) |
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| 摘 要： | 本文在时标上运用迭合度理论中的Gaines和Mawhin连续性定理研究了一类非自治捕食系统的周期解的存在性,得到了此模型周期解存在的充分条件,该方法可将证明连续和离散微分方程的周期解的存在性统一起来.
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| 关 键 词： | 时标 捕食系统 周期解 迭合度 |
Periodic Solutions of a Non-autonomous Predator-prey System on Time Scales |
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| XU Changjin , ZHANG Qianhong. Periodic Solutions of a Non-autonomous Predator-prey System on Time Scales[J]. Mathematica Applicata, 2012, 25(1): 110-117 |
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| Authors: | XU Changjin ZHANG Qianhong |
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| Affiliation: | (Guizhou Key Laboratory of Economics System Simulation,Guizhou College of Finance and Economics,Guiyang 550004,China) |
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| Abstract: | In this paper,the existence of periodic solutions to a non-autonomous predator-prey 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. |
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| Keywords: | Time scales Prey-predator system Periodic solution Coincidence degree |
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