广义的Lotka—Volterra方程的全局渐近稳定性(英文)

Global Asymptotic Stability in a Generalized Lotka-Volterra Equations

通过构造李亚普诺夫函数的方法,研究了广义的Lotka-Volterra时滞模型方程,而且给出了正平衡点的全局渐近稳定性的充分必要条件,同时对前人的结果进行了改进和推广.

We study the Lotka-Volterra equations with delays via constructing a Lyapunov func- tionals, and give the necessary and sufficient condition for the global asymptotic stability of the positive equilibrium. The previous results are improved.