# American Institute of Mathematical Sciences

2011, 8(3): 677-687. doi: 10.3934/mbe.2011.8.677

## A simple analysis of vaccination strategies for rubella

 1 Department of Mathematics and Applications, University of Naples Federico II, via Cintia, I-80126 Naples

Received  October 2010 Revised  October 2010 Published  June 2011

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.
Citation: Bruno Buonomo. A simple analysis of vaccination strategies for rubella. Mathematical Biosciences & Engineering, 2011, 8 (3) : 677-687. doi: 10.3934/mbe.2011.8.677
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##### References:
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