1 research outputs found
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