Author(s)

Alexis Nangue¹, Cyprien Fokoue², Raoue Poumeni¹

¹Department of Mathematics, Higher Teachers’ Training College, University of Maroua, Maroua, Cameroon.
²Department of Mathematics and Computer Science, Faculty of Science, University of Maroua, Maroua, Cameroon.

The aim of this work is to analyse the global dynamics of an extended mathematical model of Hepatitis C virus (HCV) infection in vivo with cellular proliferation, spontaneous cure and hepatocyte homeostasis. We firstly prove the existence of local and global solutions of the model and establish some properties of this solution as positivity and asymptotic behaviour. Secondly we show, by the construction of appropriate Lyapunov functions, that the uninfected equilibrium and the unique infected equilibrium of the mathematical model of HCV are globally asymptotically stable respectively when the threshold number and when .

HCV Model, Global Solutions, Non-Cytolytic Process, Invariant Set, Lyapunov Functions, Basic Reproduction Number, Equilibrium Points

Nangue, A. , Fokoue, C. and Poumeni, R. (2019) The Global Stability Analysis of a Mathematical Cellular Model of Hepatitis C Virus Infection with Non-Cytolytic Process. Journal of Applied Mathematics and Physics, 7, 1531-1546. doi: 10.4236/jamp.2019.77104.