Dynamics of an SIR epidemic model with stage structure and pulse vaccination

Advances in Difference Equations

Pairote Sattayatham¹  Airen Zhou²  Jianjun Jiao² 

[1] School of Mathematics and Statistics, Guizhou Key Laboratory of Economic System Simulation, Guizhou University of Finance and Economics, Guiyang, P.R. China;School of Mathematics, Institute of Science, Suranaree University of Technology, Nakhon, Thailand

关键词: SIR epidemic model;    stage structure;    global asymptotical stability;    permanence;    pulse vaccination;   

DOI  :  10.1186/s13662-016-0853-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Pulse vaccination is an important strategy to eradicate an infectious disease. In this paper, we investigate an SIR epidemic model with stage structure and pulse vaccination. By using the discrete dynamical system determined by stroboscopic map, we obtain the conditions for the global asymptotical stability of the infection-free periodic solution of the studied system. The permanent conditions of the investigated system are also given. The results indicate that a large pulse vaccination rate is a sufficient condition to eradicate the disease. It provides a reliable tactic basis for preventing the epidemic outbreak.

【 授权许可】

CC BY