| 依赖比率的捕食被捕食系统的全局分析:捕食与被捕食者均有密度制约的情况 |
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| 引用本文： | 陆志奇,李海银,李静.依赖比率的捕食被捕食系统的全局分析:捕食与被捕食者均有密度制约的情况[J].河南师范大学学报(自然科学版),2003,31(3):7-13. |
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| 作者姓名： | 陆志奇 李海银 李静 |
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| 作者单位： | 河南师范大学,数学与信息科学学院,河南,新乡,453002 |
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| 基金项目： | Supported by Natural Science Foundation of Henan Province |
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| 摘 要： | 近年来依赖比率的捕食与被捕食模型已引起了生态学者和生物数学研究者的密切注意，这是因为它们比传统的模型更加接近实际情形．本文研究了依赖比率的捕食与被捕食系统的全局定性性态，这里捕食与被捕食者均为密度制约的．
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| 关 键 词： | 生物数学 捕食与被捕食系统 全局分析 全局稳定性 密度制约 庞卡莱－班狄克生定理 比率 |
Global analysis of a ratio-dependent predator-prey system:A case for both prey and predator with density restrict |
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| Abstract.Global analysis of a ratio-dependent predator-prey system:A case for both prey and predator with density restrict[J].Journal of Henan Normal University(Natural Science),2003,31(3):7-13. |
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| Authors: | Abstract |
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| Abstract: | Recently ratio dependent predator prey models have been paid close attention by many ecologists and biomathematical researchers because they are preferable to predator prey interaction where predation involves searching process. In this paper we consider the global qualitative behavior of a ratio dependent predator prey system, which both predator and prey have density restrict by means of Poincare Bendixson theorem and Dulac criterion. We also give sufficient conditions for all the steady states to be existed. |
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| Keywords: | global stability predator prey system density restrict Poincare Bendixson theorem |
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