| 一类捕食者有投放率系统的定性分析 |
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| 引用本文： | 李传荣 杨亚炜. 一类捕食者有投放率系统的定性分析[J]. 西安交通大学学报, 1995, 29(8): 117-122 |
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| 作者姓名： | 李传荣 杨亚炜 |
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| 摘 要： | 讨论了捕食种带有常数投放率的一类捕食－被捕食系统，分析了平衡点的分布与局部性态，得到了解的有界性与全局渐近稳定性的条件，以及极限环的存在性条件。最后用李雅普略夫方法讨论了Ｈｏｐｆ分支现象，同时，对结论给于生态解释。
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| 关 键 词： | 捕食者 定性分析 极限环 投放率 种群 |
QUALITATIVE ANALYSIS OF KIND SYSTEMS UNDER RATE STOCKING OF PREDATOR |
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| Li chuanrong,Yang Yawei. QUALITATIVE ANALYSIS OF KIND SYSTEMS UNDER RATE STOCKING OF PREDATOR[J]. Journal of Xi'an Jiaotong University, 1995, 29(8): 117-122 |
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| Authors: | Li chuanrong Yang Yawei |
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| Affiliation: | School of Science |
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| Abstract: | In this paper,a kind of predator-prey system with constant stocking rate of predator isdiscussed.The paper mainly investigates the behaviour of equilibrium points, solution'sboundedness,global asymptotic stability and the existence of limit cycles.Finally Ljapunovapproach is used to discuss the phendmenon of Hopf bifurcation, The ecological meanings ofall conclusions are interpreted. |
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| Keywords: | prey predator qualitative analysis limit cycle stability |
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