title: Epidemic models for complex networks with demographics.
abstract: In this paper, we propose and study network epidemic models with demographics for disease transmission. We obtain the formula of the basic reproduction number R0 of infection for an SIS model with births or recruitment and death rate. We prove that if R0 ≤ 1 , infection-free equilibrium of SIS model is globally asymptotically stable; if R0 > 1 , there exists a unique endemic equilibrium which is globally asymptotically stable. It is also found that demographics has great effect on basic reproduction number R0. Furthermore, the degree distribution of population varies with time before it reaches the stationary state.
authors.affiliation: Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030051, China. jinzhn@263.net.
authors.forename: Zhen
authors.initials: Z
authors.lastname: Jin
authors.forename: Guiquan
authors.initials: G
authors.lastname: Sun
authors.forename: Huaiping
authors.initials: H
authors.lastname: Zhu
mesh_terms: D050936:Basic Reproduction Number; D003141:Communicable Diseases / Q000453:epidemiology / Q000635:transmission*; D003198:Computer Simulation; D003710:Demography / Q000592:standards* / Q000706:statistics & numerical data*; D058872:Epidemics; D006801:Humans; D015233:Models, Statistical