Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 528
On stability analysis study and strategies for optimal control of a mathematical model of hepatitis HCV with the latent stat
Lahcen El Youssoufi, Abdelfatah Kouidere, Omar Balatif, Mustafa Rachik
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 15, 2022
March 03, 2430
April 15, 2430

Abstract: In this work, we are studying the analysis of a viral hepatitis C model. This epidemic remains a major problem for global public health, in all communities, despite the efforts made. The model is analyzed using the stability theory of systems of nonlinear differential equations. Based on the results of the analysis, the proposed model has two equilibrium points: a disease-free equilibrium point $E_0$ and an endemic equilibrium point $E {*}$. The equilibrium stability analysis has shown that the system is locally asymptotically stable when the basic reproduction number $R_0<1$ and it is ...