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arXiv · 1403.2766

Stability and Hopf Bifurcation in a delayed viral infection model with mitosis transmission

E. Avila-Vales·N. Chan-Chí·G. García-Almeida·C. Vargas-De-León
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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.

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E. Avila-Vales, N. Chan-Chí, G. García-Almeida, C. Vargas-De-León. 2014-03-11. Stability and Hopf Bifurcation in a delayed viral infection model with mitosis transmission. https://arxiv.org/abs/1403.2766

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