循环三维竞争模型的稳定性分析

The stability analysis of cyclic 3-dimensional competitive systems

该论文对循环三维竞争模型的稳定性进行研究,给出了这类系统在正平衡点处的局部渐近稳定的条件和局渐近稳定的条件.根据得到的结果,使得该类系统在平衡点的稳定性可根据系统的参数满足的条件来判定。

This paper investigates the stability of Cyclic 3-Dimensional Competitive Systems, and presents the conditions of the locally asymptotic stability and the global asymptotic stability of this system. According to the results, the stability of Cyclic 3-Dimensional Competitive Systems at positive equilibrium point can be decided with the coefficient of system.