两种群共存模型的Runge-Kutta法

Runge-Kutta Method of Two Species Coexist Model

在合理假设的基础上建立两种群共存的微分方程模型,因为很难或无法得到其显式解,所以采用标准的四阶Runge-kutta法进行数值计算并作出图形,从而说明两种群之间相互变化的情况并进行模型的稳定性分析。

In this paper, we establish the differential equation model for the coexistence of two species based on the reasonable hy-pothesis. Because it was difficult or unable to get the explicit solution,we use the standard of four order Runge-Kutta method for numeri-cal calculation and make the graph. And we get the situation of the change between two species and make stability analysis of the model.