| 一类捕食与被捕食模型极限环的存在性 |
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| 引用本文： | 董梅芳.一类捕食与被捕食模型极限环的存在性[J].大学数学,1995(2). |
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| 作者姓名： | 董梅芳 |
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| 作者单位： | 东南大学 |
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| 摘 要： | 本文考虑一类被捕食种群为线性密度制约，捕食者种群无密度制约且具ＨｏｌｌｉｎｇⅠ型功能性反应的捕食与被捕食两种群模型 得到了系统存在极限环的必要条件，且证明了当ｂ充分小时，系统至少存在两个极限环。
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| 关 键 词： | 捕食与被捕食模型，极限环，平衡点，Poincare─Bendison环域 |
The Existence of Limit Cycle of One Class Prey predatory System |
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| Dong Meifang.The Existence of Limit Cycle of One Class Prey predatory System[J].College Mathematics,1995(2). |
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| Authors: | Dong Meifang |
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| Institution: | Southeast University |
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| Abstract: | The ptcy-perdatory system is discussed in this paper.The author obtain that there exist at least two limit cycles, if b is sufficiently small and |
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| Keywords: | Prey-predatory system Limit cycle equilibrium point |
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