title: A simple analysis of vaccination strategies for rubella.
abstract: We consider an SEIR epidemic model with vertical transmission introduced by Li, Smith and Wang, [23], and apply optimal control theory to assess the effects of vaccination strategies on the model dynamics. The strategy is chosen to minimize the total number of infectious individuals and the cost associated with vaccination. We derive the optimality system and solve it numerically. The theoretical findings are then used to simulate a vaccination campaign for rubella in China.
authors.affiliation: Department of Mathematics and Applications, University of Naples Federico II, via Cintia, I-80126 Naples, Italy. buonomo@unina.it
authors.forename: Bruno
authors.initials: B
authors.lastname: Buonomo
mesh_terms: D002681:China / Q000453:epidemiology; D003198:Computer Simulation; D006801:Humans; D018445:Infectious Disease Transmission, Vertical / Q000517:prevention & control* / Q000706:statistics & numerical data*; D032541:Mass Vaccination / Q000379:methods / Q000706:statistics & numerical data*; D015233:Models, Statistical; D015995:Prevalence; D012409:Rubella / Q000453:epidemiology* / Q000517:prevention & control*; D012411:Rubella Vaccine / Q000627:therapeutic use*
chemical_list: D012411:Rubella Vaccine