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Journal of Applied Mathematics and Computation

ISSN Print: 2576-0645 Downloads: 147831 Total View: 1810227
Frequency: quarterly ISSN Online: 2576-0653 CODEN: JAMCEZ
Email: jamc@hillpublisher.com
Article Open Access http://dx.doi.org/10.26855/jamc.2024.09.005

Optimal Control Strategies for Reducing Herpes Simplex Virus Type 2 (HSV-2) Infections

Samiha Islam Tanni1,*Chandra Nath Podder2

1Department of CSE, Green University of Bangladesh, Dhaka 1207, Bangladesh.

2Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh.

*Corresponding author: Samiha Islam Tanni

Published: October 15,2024

Abstract

Genital herpes, caused by the herpes simplex viruses (HSVs) is a globally sexually transmitted disease that has been more drastic in recent years. In this work, we have studied the epidemiological model applied to Herpes Simplex Virus Type 2 (HSV-2) infection in an optimal control perspective. The mathematical model that is developed in this work representing the disease dynamics is based on ordinary differential equations. Here we have employed the optimal control strategies to study the necessary mathematical analysis such as the existence and characterization of optimal control including some necessary conditions of the model. Our goal is to find a strategy using which we can prevent this disease by reducing HSV-2 infection. For this purpose, we have applied Pontryagin’s maximum principle and adopted vaccination as the control measure. We have examined the model both analytically and numerically, and the analytical findings have been illustrated using numerical simulations. After illustrating the graphs in different types of situations, we conclude that vaccination could be the most effective measure to reduce the number of infected individuals.

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How to cite this paper

Optimal Control Strategies for Reducing Herpes Simplex Virus Type 2 (HSV-2) Infections

How to cite this paper: Samiha Islam Tanni, Chandra Nath Podder. (2024) Optimal Control Strategies for Reducing Herpes Simplex Virus Type 2 (HSV-2) InfectionsJournal of Applied Mathematics and Computation8(3), 227-237.

DOI: http://dx.doi.org/10.26855/jamc.2024.09.005