具有阶段结构的三次捕食者—食饵系统的稳定性

Stability in a Cubic Predator-Prey System with Stage-Structure

本文主要考虑一类具有阶段结构的三次捕食者-食饵模型的方程组正解的动力学性态,证明了解的有界性。并利用线性化方法和Lyapunov函数讨论其非负平衡点的局部稳定性与全局稳定性。

This paper deals with the behavior of positive solution to a cubic predator-prey model with stage-structure,and the solution of this system is bounded. The local stability and global stability of the nonnegative equilibrium point is investigated by hnearization and Lyapunov function.