A simple analysis of vaccination strategies for rubella

Bruno Buonomo

doi:10.3934/mbe.2011.8.677

Article Contents

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

This issue Previous Article A note on the replicator equation with explicit space and global regulation Next Article A note for the global stability of a delay differential equation of hepatitis B virus infection

A simple analysis of vaccination strategies for rubella

Bruno Buonomo^1,

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

Received: October 2010

Revised: October 2010

Published: May 2011

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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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Mathematics Subject Classification: 92D30, 49J15.

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