Buonomo, Bruno A simple analysis of vaccination strategies for rubella. (English) Zbl 1260.92103 Math. Biosci. Eng. 8, No. 3, 677-687 (2011). 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. Cited in 6 Documents MSC: 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 Keywords:epidemic models; vertical transmission; optimal control; rubella Citations:Zbl 0991.92029 PDFBibTeX XMLCite \textit{B. Buonomo}, Math. Biosci. Eng. 8, No. 3, 677--687 (2011; Zbl 1260.92103) Full Text: DOI