具有竞争的Leslie型捕食者-食饵模型的定性分析

西南大学学报（自然科学版）

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谢文鑫,王稳地. 具有竞争的Leslie型捕食者-食饵模型的定性分析[J]. 西南大学学报（自然科学版）, 2009, 31(3).

引用本文:

谢文鑫,王稳地. 具有竞争的Leslie型捕食者-食饵模型的定性分析[J]. 西南大学学报（自然科学版）, 2009, 31(3).

Qualitative Analysis of a Leslie Predator-Prey System with Competition[J]. Journal of Southwest University Natural Science Edition, 2009, 31(3).

Citation:

Qualitative Analysis of a Leslie Predator-Prey System with Competition[J]. Journal of Southwest University Natural Science Edition, 2009, 31(3).

摘要: 考虑了具有竞争的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.
- 一致持续生存,全局稳定,捕食者-食饵
Abstract: In this paper, a competitive Leslie model is proposed. It is proved that the system's solution is ultimately bounded and the system is consistent and sustained under 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.