摘要
建立并分析了食饵具有传染病的生态-流行病模型,讨论了系统平衡点的存在性,利用特征根法对系统的边界平衡点进行局部渐近稳定性分析,并通过构造合适的Liapunov函数得到了该系统的两个边界平衡点的全局渐近稳定性的充分条件。
A predator-prey model with infectious diseases in the prey has been formulated and analyzed and the equilibrium existence of the system is studied.With Eigenvalue method,the local asymptotical stability of the system＇s boundary equilibrium has been analyzed and the sufficient conditions for the global asymptotical stability of the system＇s two boundary equilibrium have been obtained by constructing Liapunov function.
出处
《洛阳理工学院学报（自然科学版）》
2014年第4期82-84,92,共4页
Journal of Luoyang Institute of Science and Technology：Natural Science Edition
基金
国家自然科学基金(11061017)
关键词
平衡点
局部渐进稳定
全局渐进稳定
LIAPUNOV函数
equilibrium
locally asymptotical stability
globally asymptotical stability
Liapunov function
