title: Effect of infection age on an SIS epidemic model on complex networks.
abstract: In this paper, based on an SIS model, we construct an epidemic model with infection age to investigate the disease transmission on complex networks. By analyzing the characteristic equations associated with the equilibria, we obtain the basic reproduction number [Formula: see text]. It is shown that if [Formula: see text] then the disease-free equilibrium is globally asymptotically stable while if [Formula: see text] then there is a unique endemic equilibrium, which is asymptotically stable. Our investigation indicates that if the maximal degree of the network is large enough then the endemic equilibrium always exists. Sensitivity analysis on the basic reproduction number [Formula: see text] in terms of the parameters is carried out to illustrate their effects on the disease transmission and to develop appropriate control strategies.
authors.affiliation: Complex Systems Research Center, Shanxi University, Taiyuan, 030006, Shanxi, People's Republic of China. yangjunyuan00@126.com.|School of Mathematics, Shanxi University, Taiyuan, 030006, Shanxi, People's Republic of China. yangjunyuan00@126.com.
authors.forename: Junyuan
authors.initials: J
authors.lastname: Yang
authors.affiliation: Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, N2L 3C5, Canada.
authors.forename: Yuming
authors.initials: Y
authors.lastname: Chen
authors.affiliation: Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, N2L 3C5, Canada.
authors.forename: Fei
authors.initials: F
authors.lastname: Xu
mesh_terms: D000367:Age Factors; D050936:Basic Reproduction Number; D003140:Communicable Disease Control / Q000706:statistics & numerical data; D003141:Communicable Diseases / Q000453:epidemiology* / Q000635:transmission; D058872:Epidemics / Q000706:statistics & numerical data*; D006801:Humans; D008962:Models, Theoretical; D013997:Time Factors
keywords: Complex network; Epidemic model; Global stability; Infection age