title: Modelling the impact of vaccination on infectious diseases dynamics.
abstract: This paper investigates consequences of vaccine implementation strategies for infectious diseases by a mathematical model. For an infectious disease, the degree of infection may vary widely among the individuals. Reports show that individuals belonging to certain groups possess considerably higher risk to infection. Incorporating this phenomenon into vaccination strategies, the host is categorized into different groups to measure the outcome of the vaccination. A mathematical model is proposed and analysed to evaluate this measure. Our results suggest that vaccinating a group with certain priority may lead to elimination of the disease effectively. The strategy is cost-effective as well.
authors.affiliation: a Department of Applied Mathematics , University of Western Ontario , London , Ontario , Canada N6A 5B7.
authors.forename: S M Ashrafur
authors.initials: SM
authors.lastname: Rahman
authors.forename: Xingfu
authors.initials: X
authors.lastname: Zou
mesh_terms: D050936:Basic Reproduction Number; D003141:Communicable Diseases / Q000453:epidemiology* / Q000276:immunology; D006801:Humans; D008954:Models, Biological; D014611:Vaccination
keywords: 34K18; 34K20; 92D30; HIV; Lyapunov function; basic reproduction number; global attractivity; vaccination