Viral infection model with cell-to-cell transmission and therapy in the presence of humoral immunity: Global analysis

Abstract

This paper aims to prezent mathematical model for Viral infection which incorporates both the cell-free and cell-to-cell transmission. The model includes four compartments, namely, the susceptible, the infected ones, the viral load and the humoral immune response, which is activated in the host to attack the virus. Firstly, we establish the well-posedness of our mathematical model in terms of proving the existence, positivity and boundedness of solutions. Moreover, we determine the different equilibrium of the problem. Also, we will study the global stability of each equilibrium. Finally, we give some numerical simulation in order to validate our theoretical findings, and to study the effect of different types of treatments proposed by the model.