Hopf bifurcation of nonlinear incidence rates SIR epidemiological models with stage structure

作     者：Zhonghua LU, Xianning LIU and Lansun CHEN Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China e-mail: lschen@*** Xi'an Statistic College, Xi'an 710061, China e-mail: lzh 

作者机构：Institute of Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 China Xi'an Statistic College Xi'an 710061 China Department of Mathematics Southwest China Normal University Chongging 400715 China 

出 版 物：《Communications in Nonlinear Science and Numerical Simulation》 (非线性科学与数值模拟通讯(英文版))

年 卷 期：2001年第6卷第4期

页      面：205-209页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the Nationa1 ScienCe Foundation of China (No. 1011900) 

主　　题：Hopf bifurcation SIR epidemiological model. disease-free equilibrium endemic equilibrium 

摘      要：A nonlinear incidence rates SIR epidemiological model with stage structure is considered. Different to bilinear incidence rates models, there exist two positive equilibria and whether or not the disease will eventually die out may depend upon the initial values. Periodic solutions may appear by Hopf bifurcation.