Stability and Hopf Bifurcation in a delayed viral infection model with   mitosis transmission
  In this paper we study a model of HCV with mitotic proliferation, a saturation infection rate and a discrete intracellular delay: the delay corresponds to the time between infection of a infected target hepatocytes and production of new HCV particles. We establish the global stability of the infection-free equilibrium and existence, uniqueness, local and global stabilities of the infected equilibrium, also we establish the occurrence of a Hopf bifurcation. We will determine conditions for the permanence of model, and the length of delay to preserve stability. The unique infected equilibrium is globally-asymptotically stable for a special case, where the hepatotropic virus is non-cytopathic We present a sensitivity analysis for the basic reproductive number. Numerical simulations are carried out to illustrate the analytical results. 
E. Avila-Vales, N. Chan-Ch\'i, G. Garc\'ia-Almeida, C.   Vargas-De-Le\'on
math.DS