info:eu-repo/semantics/article
Stability and Hopf bifurcation in a delayed viral infection model with mitosis transmission
Author
ERIC JOSE AVILA VALES
NOE GUADALUPE CHAN CHI
GERARDO EMILIO GARCIA ALMEIDA
CRUZ VARGAS DE LEON
Institutions
Abstract
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.