A simple analysis of vaccination strategies for rubella. (English) Zbl 1260.92103

Summary: We consider an SEIR epidemic model with vertical transmission introduced by M.Y. Li, H.L. Smith and L. Wang [SIAM J. Appl. Math. 62, No. 1, 58–69 (2001; Zbl 0991.92029)] 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 optimal system and solve it numerically. The theoretical findings are then used to simulate a vaccination campaign for rubella in China.


92D30 Epidemiology
49N90 Applications of optimal control and differential games
65C20 Probabilistic models, generic numerical methods in probability and statistics
49J15 Existence theories for optimal control problems involving ordinary differential equations


Zbl 0991.92029
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