摘要
讨论了多种群互惠型Ｖｏｌｔｅｒｒａ生态系统ｘ＝ｘ（ｂ＋Ａｘ）￣Ｔ存在正平衡点的充分条件及正平衡点全局渐近稳定的充要条件，得到结论。ａ）若矩阵Ａ稳定，则系统有唯一正平衡点；ｂ）若矩阵Ａ稳定，则系统的正平衡点全局渐近稳定。
The existance and global stability of positive equilibrium points of mutualistic Volterra e-cosystems x=x(b+ax)￣T was discussed and the follow conclusions were obtained:a)if A is stable, then the system has only one equilibrium point;b)the system is global asymptotic stable if a n d only if A is stable.
出处
《西北师范大学学报（自然科学版）》
CAS
1995年第1期11-14,共4页
Journal of Northwest Normal University(Natural Science)
关键词
全局渐近稳定
生物数学
常微分方程
种群
M-matrix, positive equilibrium point,global asymptotic stability
