Mathematical modeling and optimal control of Hepatitis B virus dynamics

Iranian Journal of Numerical Analysis and Optimization

مقاله 10، دوره 17، Issue 1 - شماره پیاپی 40، بهار 2027، صفحه 273-289   

نوع مقاله: Review Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2026.97045.1806

نویسندگان

Loubna El houari^{* 1}؛ Mariem Elkaf²؛ Jaouad Danane³

¹LaMAO Laboratory, Faculty of Sciences, Mohammed First University, Oujda, Morocco.

²Royal Naval School, Casablanca, Morocco.

³National School of Applied Sciences, Hassan First University, Berrechid, Morocco.

چکیده

In this study, we examine the dynamics of Hepatitis B Virus, formulated through a system of four differential equations that describe the interactions between healthy hepatocytes, infected hepatocytes, capsids, and the HBV virus. To establish the well-posedness of the proposed model, we prove the positivity and the boundedness of solutions, under two control strategies. Then, we give some numerical results confirming that control strategies play a crucial role in reducing viral load, leading to improved disease management and prevention of complications such as liver damage. The overall findings emphasize the importance of intervention in maintaining biological balance and enhancing health outcomes.

کلیدواژه‌ها

HBV؛ Dynamical systems؛ Ordinary Differential Equations؛ Stability؛ Optimal control؛ Optimization؛ Numerical simulation