title: An SIRVS epidemic model with pulse vaccination strategy.
abstract: The aim of this paper is to analyze an SIRVS epidemic model in which pulse vaccination strategy (PVS) is included. We are interested in finding the basic reproductive number of the model which determine whether or not the disease dies out. The global attractivity of the disease-free periodic solution (DFPS for short) is obtained when the basic reproductive number is less than unity. The disease is permanent when the basic reproductive number is greater than unity, i.e., the epidemic will turn out to endemic. Our results indicate that the disease will go to extinction when the vaccination rate reaches some critical value.
authors.affiliation: College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People's Republic of China. t.l.zhang@126.com
authors.forename: Tailei
authors.initials: T
authors.lastname: Zhang
authors.forename: Zhidong
authors.initials: Z
authors.lastname: Teng
mesh_terms: D003140:Communicable Disease Control / Q000379:methods*; D003141:Communicable Diseases / Q000276:immunology; D004196:Disease Outbreaks / Q000517:prevention & control; D006801:Humans; D007113:Immunity, Innate; D007115:Immunization Schedule; D032541:Mass Vaccination / Q000379:methods*; D008954:Models, Biological