Global properties of a delayed SIR epidemic model with nonlinear incidence rate

摘要：

A vector disease model of SIR type with incubation time and nonlinear incidence rate is investigated, where the force of infection is a power function of density of susceptible individuals. The basic reproductive number R0 determining whether the disease dies out is given. The global properties of the considered models is studied, there is always a globally asymptotically stable equilibrium state. Depending on the value of Ro, this state can be either disease-free situation (Ro<1) or epidemic (Ro>1).

关键词： Vector disease model Time delay Global stability Permanence

作者: Jin-Zhu Zhang Jian-Jun Wang Zhen Jin Tie-Xiong Su

作者单位: Institute of military equipment and technologies,North University of China,Taiyuan,030051,China;Depa Department of Mathematics,Taiyuan Institute of Technology,Taiyuan 030008,China Department of Mathematics, North University of China,Taiyuan 030051, China Institute of military equipment and technologies, North University of China,Taiyuan,030051,China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1452-1459

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）