Volume : VII, Issue : I, January - 2017

An Optimal control approach to Transmission Dynamics of Hepatitis B Virus

A. S. Kadi, Sahana P. H, Geremew Muleta

Abstract :

 Hepatitis B is a potentially life–threatening liver infection caused by the hepatitis B virus (HBV) and is a major global health problem. In this paper, we focus on the dynamics of HBV by applying optimal control theory for the model by using control policies. The optimal control is obtained by solving the optimality system of nonlinear ordinary differential equations with initial conditions. We take the controls as time dependent and obtain the optimal control strategy to minimize individuals and the associated costs. The results are analyzed and interpreted numerically using MATLAB (R2011a). The results reflect that simultaneous use of two control policies is more effective at reducing the number of secondary infections than the use of single control policies.

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Article: Download PDF   DOI : 10.36106/ijar  

Cite This Article:

A.S.Kadi, Sahana P. H, Geremew Muleta, An Optimal control approach to Transmission Dynamics of Hepatitis B Virus, Indian Journal of Applied Research,Volume : 7 | Issue : 1 | JANUARY 2017

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