Optimal control for an age-structured model for the transmission of hepatitis B

One of the characteristics of HBV transmission is the age structure of the host population and the vertical transmission of the disease. That is the infection is transmitted directly from infected mother to an embryo, fetus, or baby during pregnancy or childbirth (the perinatal infection). We formul...

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Published inJournal of mathematical biology Vol. 73; no. 2; pp. 305 - 333
Main Authors Djidjou Demasse, Ramses, Tewa, Jean-Jules, Bowong, Samuel, Emvudu, Yves
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2016
Springer Nature B.V
Springer
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ISSN0303-6812
1432-1416
1432-1416
DOI10.1007/s00285-015-0952-6

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Summary:One of the characteristics of HBV transmission is the age structure of the host population and the vertical transmission of the disease. That is the infection is transmitted directly from infected mother to an embryo, fetus, or baby during pregnancy or childbirth (the perinatal infection). We formulated an age-structured model for the transmission dynamics of HBV with differential infectivity: symptomatic and asymptomatic infections. The model without intervention strategies is completely analyzed. We compute the basic reproduction number which determines the outcome of the disease. We also compute equilibria and study their stability. The sensitivity analysis of the initial model parameters is performed (to determine the impact of control-related parameters on outbreak severity). Using optimal control theory, we determine the cost-effective balance of three interventions methods which minimizes HBV-related deaths as well as the costs associated with intervention.
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ISSN:0303-6812
1432-1416
1432-1416
DOI:10.1007/s00285-015-0952-6