title: Impulsive vaccination of an SEIRS model with time delay and varying total population size.
abstract: Pulse vaccination is an effective and important strategy for the elimination of infectious diseases. A delayed SEIRS epidemic model with pulse vaccination and varying total population size is proposed in this paper. We point out, if R* < 1, the infectious population disappear so the disease dies out, while if R(*) > 1, the infectious population persist. Our results indicate that a long period of pulsing or a small pulse vaccination rate is sufficient condition for the permanence of the model.
authors.affiliation: College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, P.R. China. gaosjmath@tom.com
authors.forename: Shujing
authors.initials: S
authors.lastname: Gao
authors.forename: Lansun
authors.initials: L
authors.lastname: Chen
authors.forename: Zhidong
authors.initials: Z
authors.lastname: Teng
mesh_terms: D003141:Communicable Diseases / Q000276:immunology*; D004196:Disease Outbreaks / Q000517:prevention & control*; D006801:Humans; D018448:Models, Immunological; D014611:Vaccination / Q000379:methods* / Q000592:standards