一类捕食者-食饵系统的全局结构 |
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引用本文: | 丁孙荭.一类捕食者-食饵系统的全局结构[J].应用数学和力学,1988,9(10):939-943. |
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作者姓名: | 丁孙荭 |
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作者单位: | 中国科学院成都分院数理科学研究室 |
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摘 要: | 本文中我们证明了关于一般捕食者-食饵系统不存在闭轨线的定理,即文中定理2.应用这一定理和关于捕食者-食饵系统极限环的存在唯一性定理1],我们完成了在各种参数条件对一个具体的捕食者-食饵系统模型2]的研究.
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收稿时间: | 1985-10-13 |
Global Structure of a Kind of Predator-Prey System |
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Institution: | Institute of Mathematical Sciences, Chengdu Branch, Academia Sinica, Chengdu |
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Abstract: | In this paper we prove a theorem, theorem 2, on nonexistence of closed trajectory for a general predator-prey system.Then, using this theorem and another theorem on existence and uniqueness of limit cycle for predator-prey system1], we complete the investigation of a concrete model of predator-prey system2] under the conditions of all kinds of parameters. |
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