title: Stability analysis of a general age-dependent vaccination model for a vertically transmitted disease under the proportionate mixing assumption.
abstract: An SIR epidemic model of a general age-dependent vaccination of a vertically as well as horizontally transmitted disease is investigated when the total population is in steady state. We assume proportionate mixing and age-dependent fertility, mortality and removal rates. We determine the steady states and examine their stabilities.
authors.affiliation: Faculty of Mathematical Sciences, University of Khartoum, Sudan.
authors.forename: M
authors.initials: M
authors.lastname: el-Doma
mesh_terms: D000367:Age Factors; D003140:Communicable Disease Control / Q000379:methods; D003141:Communicable Diseases / Q000453:epidemiology / Q000635:transmission*; D004196:Disease Outbreaks / Q000517:prevention & control / Q000706:statistics & numerical data; D018562:Disease Transmission, Infectious / Q000517:prevention & control; D006801:Humans; D018445:Infectious Disease Transmission, Vertical / Q000517:prevention & control; D008954:Models, Biological; D014611:Vaccination