摘要
本文利用线性化方法和 Liapunov 函数的方法研究了一类近似循环系数的互惠共生 n种群 Volterra 系统的稳定性, 得出了一个简单的结论, 即系统若存在正平衡点, 则它一定是全局稳定的。
In this paper, the stability of the positive equilibrium of n species Volterra system on mutualism with approximative recurrent coefficients is discussed with the technique of linearization and the method of Liapunov function. Result shows that the positive equilibrium is absolute global asymptotic stability as long as the positive equilibrium of the system is subsistent.