引用本文: | 王远世.关于一类含二个被食者的三维掠俘系统可达解的注记[J].控制理论与应用,1998,15(5):675~679.[点击复制] |
WANG Yuanshi.Remarks on Reachable Solutions. of One Predator andTwo Preys System[J].Control Theory and Technology,1998,15(5):675~679.[点击复制] |
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关于一类含二个被食者的三维掠俘系统可达解的注记 |
Remarks on Reachable Solutions. of One Predator andTwo Preys System |
摘要点击 990 全文点击 495 投稿时间:1996-05-07 修订日期:1997-08-28 |
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DOI编号 |
1998,15(5):675-679 |
中文关键词 Lotka-Volterra掠俘系统 可达解 |
英文关键词 Lotka-Volterra predator-prey system reachable solution |
基金项目 |
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中文摘要 |
本文研究了一类一个捕食者二个被食者的三维Lotka-Volterra系统,在更一般的情形下回答了文[4]提出的开问题,即通过在三维空间中构造环域,证明了在坐标平面上某个区域内,有无穷多个可达解. 对该三维系统的分支现象,也得到了较好的结果. |
英文摘要 |
In this paper,a general Lotka-Volterra system of one predaror and two preys is in-yestigsted to solve the open problems in [4]. By constructing domains in R3,some intercsting ie-sults are obtained;there are a number of periodic solutions which can be approached as t→∞,We lso give the analysis of the Hopf bifurcation of the. system. |