%0 Journal Article
%T Stability and Hopf Bifurcation in a delayed viral infection model with mitosis transmission
%A E. Avila-Vales
%A N. Chan-Ch¨ª
%A G. Garc¨ªa-Almeida
%A C. Vargas-De-Le¨®n
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1403.2766v1