| 一类捕食者─食饵系统的稳定性 |
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| 引用本文： | 刘道贤,俞元洪.一类捕食者─食饵系统的稳定性[J].长江大学学报(社会科学版),1995(2). |
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| 作者姓名： | 刘道贤 俞元洪 |
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| 作者单位： | 青海师范专科学校(刘道贤)，中国科学院应用数学研究所(俞元洪) |
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| 摘 要： | 本文对具有种内相互作用和功能反应的一个公共食饵和两个互相竞争的捕食者系统进行了讨论，得到了其平衡态稳定的若干结果，同时还证明了扩散的稳定效应。
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| 关 键 词： | 捕食者─食饵系统 稳定性 扩散 稳定效应 |
ON THE STABILITY OF A CLASS OF PREDATOR-PREY SYSTEMS |
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| Liu Daoxian.ON THE STABILITY OF A CLASS OF PREDATOR-PREY SYSTEMS[J].Journal of Yangtze University:Social Sciences,1995(2). |
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| Authors: | Liu Daoxian |
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| Abstract: | This paper is concerned with the question of effects of dispersal on the linear and nonlinear stability of the equilibrium state for a system consisting of two predators and a common prey. It is shown that linearly or nonlinearly stable equilibrium state remains so, with dispersal as well. Also it is shown that the dispersal has a stabilizing effect. |
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| Keywords: | predatorprey system stability dispersal stabilizing effcet |
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