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Research Article Open access CC BY 4.0

Effect of Control on the Mathematical Model of Hepatitis B Virus with Infective Migrant

Folahan S. Akinboro, T. O. Oluyo, O. O. Kehinde, S. Alao

Archives of Current Research International · pp. 58–70 · Published 13 Oct 2020

10.9734/acri/2020/v20i630202

Abstract

The transmission dynamics of Hepatitis B Virus in a population with infective immigrant is presented with the inclusion of an optimal control strategy to curtail the spread of the virus. To understand the spread of this infection, we develop a mathematical model with control variables of migrant screening and public sensitization. The optimality system is characterized using Pontryagin’s maximum principle and solve numerically with an implicit finite difference method.  Result of the numerical simulation is presented to illustrate the feasibility of this control strategy. The analysis reveals that combination of both control variables could be the most fruitful way to reduce the incidence of Hepatitis B virus.

Mathematical model hepatitis B virus infective immigrant Pontryagin’s maximum principle optimal control finite difference.

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