Abstract
This paper investigates the qualitative behavior of viral infection model with multitarget cells in vivo. The infection rate is given by Crowley-Martin functional response. By assuming that the virus attack n classes of uninfected target cells, we study a viral infection model of dimension 2n + 1 with distributed delay. To describe the latent period for the contacted target cells with viruses to begin producing viruses, two types of distributed delay are incorporated into the model. The basic reproduction number R-0 of the model is defined which determines the dynamical behavior of the model. Utilizing Lyapunov functionals and LaSalle's invariance principle, we have proven that if R-0 <= 1 then the uninfected steady state is globally asymptotically stable, and if R-0 > 1 then the infected steady state is globally asymptotically stable.