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

作　　者：王蕊[1] 卢金梅[2] 

机构地区：[1]河南师范大学数学与信息科学学院 [2]郑州轻工业学院信科系,郑州450002

出　　处：《安阳工学院学报》2007年第1期113-119,共7页Journal of Anyang Institute of Technology

摘　　要：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.

关 键 词：HIV-1 比率依赖 LIAPUNOV泛函 全局渐进稳定 

分 类 号：O177[理学—数学]