基于比率的捕食-被捕食传染病模型的全局稳定性分析

The Global Stability of the Positive Equilibrium for an Epidemic Model

讨论基于比率的种群-传染病动力学单时滞模型:模型中采用的功能反映函数是比率依赖的。采用Liapunov构造泛函并分析轨道走向的方法证明了正平衡点在一定的条件下是全局渐进稳定性的。

In this paper, a model for nonlinear population-epidemic dynamics, which is ratio-dependent and has a single delayT denoting gestation period of the predator , is established. The global asymptotic stability of the positive eq.ilihriumE＇is discussed by constructing Liapunov functional. It shows that when .9 is small enough. The positive equilihrium is globally asymptotically stable under some appreciate conditions.