| 一类食物链模型的全局定性分析 |
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| 引用本文： | 王育全,井竹君.一类食物链模型的全局定性分析[J].数学物理学报(A辑),2006,26(3):410-420. |
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| 作者姓名： | 王育全 井竹君 |
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| 作者单位： | 南京财经大学应用数学系，中国科学院数学与系统科学研究院 南京 210003，北京 100080 |
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| 基金项目： | 国家自然科学基金(10371037)资助 |
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| 摘 要： | 文系统地研究了由一个食饵种群和两个捕食者种群所构成的食物链系统.结论表明：种群间的相互作用可以导致两个捕食者种群灭绝或一个捕食者种群灭绝,或者所有三个种群能以稳定的正平衡态或振动解的形式共存.利用MATLAB软件,该文提供了两个例子来模拟这些结论.
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| 关 键 词： | 全局稳定 极限环 持续 Hopf 分支 |
| 文章编号： | 1003-3998(2006)03-410-11 |
| 收稿时间： | 2004-05-08 |
| 修稿时间： | 2005-08-21 |
Global Qualitative Analysis of a Food Chain Model |
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| Wang Yuquan,Jing Zhujun.Global Qualitative Analysis of a Food Chain Model[J].Acta Mathematica Scientia,2006,26(3):410-420. |
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| Authors: | Wang Yuquan Jing Zhujun |
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| Institution: | Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003; Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080 |
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| Abstract: | The goal of this paper is to study systematically a food chain model consisting of one prey and two predator spacies. The authors show the interactions may lead to that two predators species are both extinct or one of them is extinct, or all three species may be coexistent in the form of positive steady state or oscillatory solutions. Using AMTLAB software, the authors present two examples to simulate these conclusions. |
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| Keywords: | Global stability Limit cycle Persistence Hopf bifurcations |
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