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The Global Dynamic Behavior of the Cooperative Systems of Three Species
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- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 4
- DOI:
- 10.3969/j.issn.1001-9626.2002.04.005
- Key Word:
- Lotka-Volterra;全局渐近稳定;正平衡点
Abstract： 考虑三种群合作系统:dxi/dt=x:(b-∑j3＝1aijxj),xi(0)＞0,b＞0,aij＜0,i≠j,i,j=1,2,3,完整地分析了其全局渐近性态:证明了该系统不存在闭轨,给出了正平衡点存在且全局渐近稳定的充要条件,证明了若系统不存在正平衡点,则所有解均趋于无穷.
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