| 具有稀疏效应的一类捕食—食饵系统的分支问题 |
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| 引用本文： | 孙宪武,王东达.具有稀疏效应的一类捕食—食饵系统的分支问题[J].吉林林学院学报,1993,9(2):64-67. |
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| 作者姓名： | 孙宪武 王东达 |
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| 作者单位： | [1]白城师专生物系 [2]白城师专数学系 |
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| 摘 要： | 本文研究生态学中具有稀疏效应的Lotka—Volterra系统的分支问题。在部分参数条件下,讨论了系统的全局结构。并利用Hopf分支理论,分界线环分支理论得到了在不同的参数条件下,至少存在两个和三个极限环线的结论。
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| 关 键 词： | 数学生态 稀疏效应 生态学 捕食－食饵系统 |
On the Branching Problems of the Predator-Prey Systems with Thinning Effect |
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| Authors: | Sun Xianwu |
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| Institution: | Sun Xianwu(Biology Department of Baicheng Teachers Academy)Wang Cheda(Mathematics Department of Bacheng Teachers Academy) |
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| Abstract: | This paper discusses the branching problems of the Lotka-Volterra system with thinning effect in mathematical ecology. The total structure of the system in some parameters is probed. There exist at least 2 or 3 limit rings in different parameter conditions,which is concluded by applying the Hopf branch theory and the bordering ring branch theory. |
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| Keywords: | Mathematical Ecology Equation Definite Limit Ring |
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