Mathematical Analysis of Virus Dynamics Model with Multitarget Cells in Vivo

This paper investigates the qualitative behavior of viral i nfection 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 discrete delay. To describe the latent period for the c ontacted target cells with viruses to begin producing viruses, two types of discrete delay are incorporated into the model. The basic reproduction number R0 of the model is defined which determines the dynamical behaviors of the mo del. Utilizing Lyapunov functionals and LaSalle's invaria nce principle, we have proven that if R0 � 1 then the uninfected steady state is globally asymptotical ly stable, and if R0 > 1 then the infected steady state is globally asymptotically stable.