具有阶段结构的Leslie型捕食者-食饵模型的定性分析

Qualitative Analysis of a Leslie Predator-Prey System with Stage-structure

摘要: 考虑食饵具有阶段结构的Leslie型模型.证明了解的最终有界性和系统在一定条件下的一致持续生存性,研究了平衡点的局部稳定性.通过构建适当的Lyapunov函数,获得了正平衡点全局渐进稳定的充分条件.

Abstract: A Leslie model with stage-structure is proposed.It is proved that the system s solution is ultimately bounded and the system is permanent under some appropriate conditions.The local stability of the equilibria is investigated.By constructing a suitable Lyapunov functional,sufficient conditions are derived for the global stability of the positive equilibrium of the model.