title: An SEIV Epidemic Model for Childhood Diseases with Partial Permanent Immunity.
abstract: An SEIV epidemic model for childhood disease with partial permanent immunity is studied. The basic reproduction number R 0 has been worked out. The local and global asymptotical stability analysis of the equilibria are performed, respectively. Furthermore, if we take the treated rate τ as the bifurcation parameter, periodic orbits will bifurcate from endemic equilibrium when τ passes through a critical value. Finally, some numerical simulations are given to support our analytic results.
authors.affiliation: Department of Mathematics and Statistics, Zhoukou Normal University, Zhoukou, Henan 466000, China ; Department of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, China.
authors.forename: Mei
authors.initials: M
authors.lastname: Bai
authors.affiliation: Department of Mathematics and Statistics, Zhoukou Normal University, Zhoukou, Henan 466000, China.
authors.forename: Lishun
authors.initials: L
authors.lastname: Ren
mesh_terms: D000465:Algorithms; D050936:Basic Reproduction Number; D003140:Communicable Disease Control / Q000379:methods; D003141:Communicable Diseases / Q000453:epidemiology* / Q000635:transmission*; D003198:Computer Simulation; D058872:Epidemics; D006801:Humans; D007107:Immune System; D017589:Immunization Programs; D015233:Models, Statistical; D014612:Vaccines
chemical_list: D014612:Vaccines