一类离散食植系统的定性分析

Qualitative analysis on a class of discrete herbivore-plant model

首先对一类连续的食植系统进行离散化处理,而后对得到的离散系统进行定性分析,获得了系统正平衡点存在的充要要件。并对边界平衡点及正平衡点的无穷远点的稳定性做出了判断。

First,this paper derives discrete time versions of dynamical systems corresponding to continuous time formulations.And then elaborately qualitative analysis are given for this discrete herbivore-plant system.A sufficient and necessary condition for the existence of positive equilibria is obtained.Lastly,the stability of boundary equilibria and positive equilibria are pointed out.