| 几个n维Lotka-Volterra子系统的全局稳定性 |
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| 引用本文： | 郝涌,刘保仓,李学志. 几个n维Lotka-Volterra子系统的全局稳定性[J]. 信阳师范学院学报(自然科学版), 1999, 12(3): 254-258 |
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| 作者姓名： | 郝涌 刘保仓 李学志 |
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| 作者单位： | 1. 信阳师范学院,数学系,河南,信阳,464000
2. 驻马店教育学院,河南,驻马店,463000 |
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| 基金项目： | 国家自然科学基金,984051200, |
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| 摘 要： | 本文得到几个ｎ 维Ｌｏｔｋａ Ｖｏｌｔｏｒｒａ 子系统平衡点存在且全局渐近稳定的充分条件,这些子系统是：竞争链系统,共存链系统以及一个种群与多个种群之间的竞争共存系统。本文的判据是用相互作用参数表示出来的,便于实际应用中的验证。
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| 关 键 词： | 平衡点 全局渐近稳定性 n维Lotka-Voltorra子系统 |
Global stability of n-Dimensional Lotka-Volterra sub-systems |
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| Abstract. Global stability of n-Dimensional Lotka-Volterra sub-systems[J]. Journal of Xinyang Teachers College(Natural Science Edition), 1999, 12(3): 254-258 |
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| Authors: | Abstract |
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| Abstract: | A set of sufficient conditions are obtained for the existence of a globally asymptotically stable equilibrium point in various sub models of the classic n dimensional Lotka Volterra system. The sub models are the following systems: competition chain system, competition modle between one and multi species,cooperative chain system,cooperative model between one and multi species. The criteria is in explicit forms of the parameters and thus is easily verifiable. |
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| Keywords: | equilibrium point global asymptotic stability n dimensional Lotka Volterra system |
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