Abstract
In this paper, we study the global stability of a mathematical model that describes the virus dynamics under the effect of antibody immune response. The model is a modification of some of the existing virus dynamics models by considering the latently infected cells and nonlinear incidence rate for virus infections. We show that the global dynamics of the model is completely determined by two threshold values R-0, the corresponding reproductive number of viral infection and R-1, the corresponding reproductive number of antibody immune response, respectively. Using Lyapunov method, we have proven that, if R-0 < 1, then the uninfected steady state is globally asymptotically stable (GAS), if R-1 <= 1 < R-0, then the infected steady state without antibody immune response is GAS, and if R-1 > 1, then the infected steady state with antibody immune response is GAS.