几类Lotka-Volterra模型的定性分析

Qualitative Analysis of Several Classes of Lotka-Volterra Systems

本文考虑几类“捕食者—食饵”型的Lotka—Volterra模型,给出了这些模型全局稳定与所有正解最终有界的充分条件;对这些条件的描述与论证,本文运用了图论的概念与方法。

In this paper, the authors consider several classes of predator-prey systems of Lotka Volterra type by means of the methods and concepts of graph theory, and give some sufficient conditions of global stability and boundness of the systems.