摘要
本文建立并分析了具有稀疏效应的捕食者有病的生态-流行病模型.首先应用特征根法得到5个边界平衡点的局部渐近稳定的充分条件,然后分析了其中两个边界平衡点的全局稳定性,最后得到了它们稳定的充分条件.
In this paper we formulated and analyzed the eco-epidemiological model under sparse effect.First,the sufficient condition of the local asymptotical stability of the equilibrium was studied with the method of latent root;and then,the global asymptotical stability of two boundary equilibriums is analyzed;At last,the sufficient condition of their stability was obtained.
关键词
生态-流行病模型
局部渐近稳定
全局稳定性
eco-epidemiological model
locally asymptotical stability
global stability
