| 时间测度上一些种群动力学方程的周期解 |
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| 引用本文： | 刘振杰.时间测度上一些种群动力学方程的周期解[J].数学的实践与认识,2008,38(7). |
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| 作者姓名： | 刘振杰 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目
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哈尔滨学院学科发展研究基金 |
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| 摘 要： | 在时间测度上研究一些具有时滞的种群动力学系统,利用Mawhin重合度理论建立了这一类抽象型系统的正周期解存在的充分性条件,从而使这些种群动力学模型的连续和离散时间情形,即微分方程和差分方程得到了统一研究.将所得到的结论可以应用到很多具体的生物数学模型上.
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| 关 键 词： | 时间测度 种群动力学方程 时滞 重合度 周期解 |
Periodic Solutions of Several Population Dynamic Equations on Time Scales |
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| LIU Zhen-jie.Periodic Solutions of Several Population Dynamic Equations on Time Scales[J].Mathematics in Practice and Theory,2008,38(7). |
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| Authors: | LIU Zhen-jie |
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| Abstract: | Several population dynamic systems with time delays are studied on time scales.By using the continuation theorem based on coincidence degree theory,Sufficient criterion are established for the existence of positive periodic solutions of the class systems,which has been unified and extensively applied in studying existence problems of these population models in differential equations and difference equations. |
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| Keywords: | time scale population dynamic equation time delay coincidence degree periodic solution |
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