A CLASS OF SIS EPIDEMIC MODEL WITH SATURATION INCIDENCE AND AGE OF INFECTION

摘要：

Saturating contact rate of individual contacts is crucial in an epidemiology model. A mathematical SIR model with saturation incidence and age of infection is formulated in this paper. In addition, we study the dynamical behavior of this model and define the basic reproductive number R<,0> The authors also prove that the diseased-free equilibrium is globally asymptotically stable if R<,0> < 1. The endemic equilibrium is locally asymptotically stable if K<,1> > α and R<,0> > 1.

关键词： epidemic model age of infection local stability saturation incidence

作者: Yang Junyuan Zhang Fengqin Wang Xiaoyan

作者单位: Dept. of Applied Math., Yuncheng Unversity, 044000 Yuncheng, Shanxi Dept. of Applied Math.,Yuncheng Unversity, 044000 Yuncheng, Shanxi

会议类型: 国际会议

会议名称: 第六次全国微分方程定性理论会议

会议地点: 广州

会议语种:英文

页码: 546-551

在线出版日期: 2007-12-09（万方平台首次上网日期，不代表论文的发表时间）