Title: Effects of combination of therapies on chronic hepatitis B virus through resolution of an optimal control problem using comparative of direct method and Pontryagin's maximum principle

Authors: Jean Marie Ntaganda

Addresses: Department of Mathematics, School of Science, College of Science and Technology, University of Rwanda, Rwanda

Abstract: This paper aims at using direct approach and Pontryagin's maximum principle to solve a hepatitis B virus dynamics optimal control problem. The controls consist of combination therapy of two treatments. The numerical implementation is done using MATLAB packages. Comparative results from these two methods show they are so close in optimal trajectories of determinant variables. Furthermore, both numerical methods are in good agreement with experimental data. In particular, combination of two treatments controls hepatitis B virus to ensure healthy.

Keywords: hepatitis B virus; HBV; optimal control; treatment; direct method; Pontryagin's maximum principle; numerical simulation.

DOI: 10.1504/IJCSM.2021.10039886

International Journal of Computing Science and Mathematics, 2021 Vol.13 No.3, pp.301 - 310

Received: 23 Jan 2019
Accepted: 09 Jul 2019

Published online: 02 Aug 2021 *

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