| 具有放牧率的两种群竞争扩散模型的概周期解及其稳定性 |
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| 引用本文： | 谢胜利,刘永清,谢振东.具有放牧率的两种群竞争扩散模型的概周期解及其稳定性[J].控制理论与应用,1997,14(1):27-33. |
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| 作者姓名： | 谢胜利 刘永清 谢振东 |
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| 作者单位： | [1]华南理工大学自动化系 [2]湖北农学院 |
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| 摘 要： | 本文对具有放牧率的两种竞争扩散模型的概周期解进行了讨论，采用比较原理，Ｓｃｈａｕｄｅｒ不动点定理及Ｌｙａｐｕｎｏｖ函数方法，得到了空间齐次概周期解的存在性和稳定性的一些简捷的充分条件。
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| 关 键 词： | 放牧率 竞争模型 概周期解 稳定性 种群动力学 |
| 收稿时间： | 1995/12/4 0:00:00 |
| 修稿时间： | 1996/6/10 0:00:00 |
Existence and Stability for Almost Periodic Solution of Competition Models with Grazing Rates |
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| XIE Shengli,LIU Yongqing,XIE Zhendong.Existence and Stability for Almost Periodic Solution of Competition Models with Grazing Rates[J].Control Theory & Applications,1997,14(1):27-33. |
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| Authors: | XIE Shengli LIU Yongqing XIE Zhendong |
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| Affiliation: | Department of Automation, South China University of Technology |
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| Abstract: | The problem of existence and stability for almost periodic solution of competition model withgrazing rates and diffusion in population dynamics is discussed by methods of comparison theory, Schauder'sfixed point theorem and Lyapunov function. The sufficient conditions are obtained for the existence of aglobally asymptotically stable strictly positive space homogenous almost periodoic solution. |
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| Keywords: | competition model grazing rates almost periodic solution reaction-diffusion stability |
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