A simple analysis of vaccination strategies for rubella

2011, Volume 8, Issue 3: 677-687. doi: 10.3934/mbe.2011.8.677

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

Received: 01 October 2010 Accepted: 29 June 2018 Published: 01 June 2011
MSC : 92D30, 49J15.

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.
- vertical transmission,
- optimal control,
- Epidemic models,
- rubella.
Citation: Bruno Buonomo. A simple analysis of vaccination strategies for rubella[J]. Mathematical Biosciences and Engineering, 2011, 8(3): 677-687. doi: 10.3934/mbe.2011.8.677

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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.
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© 2011 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)