title: Global analysis of a mathematical model for Hepatitis C virus transmissions.
abstract: In this paper, a mathematical model is proposed and analyzed for Hepatitis C virus (HCV) infection transmissions. In this model, both of chronic primary infection and possibility of reinfection are considered. Two thresholds of basic reproduction number R0 and control reproduction number Rc are derived. We get the sufficient conditions for the existence of infection-free equilibrium and endemic equilibrium. The sufficient conditions for the local and global stability of the equilibria are also obtained. Some numerical simulations are performed to prove the theoretical results. At last, some discussions are presented.
authors.affiliation: School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, China. Electronic address: shirq1979@163.com.
authors.forename: Ruiqing
authors.initials: R
authors.lastname: Shi
authors.affiliation: School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, China.
authors.forename: Yunting
authors.initials: Y
authors.lastname: Cui
mesh_terms: D019353:Endemic Diseases; D006526:Hepatitis C / Q000635:transmission*; D006801:Humans; D008954:Models, Biological
keywords: Basic reproduction number; Control reproduction number; Endemic equilibrium; Hepatitis C virus (HCV); Infection-free equilibrium; Reinfection; Stability