Banerjee2018 - Influence of Intracellular Delay on the Dynamics ofHepatitis C Virus

Influence of Intracellular Delay on the Dynamics of Hepatitis C Virus
Sandip Banerjee 1· Ram Keval 2

Abstract

In this paper, we present a delay induced model for hepatitis C virus incorporat-ing the healthy and infected hepatocytes as well as infectious and noninfectious virions. Themodel is mathematically analyzed and characterized, both for the steady states and the dynam-ical behavior of the model. It is shown that time delay does not affect the local asymptoticstability of the uninfected steady state. However, it can destabilize the endemic equilibrium,leading to Hopf bifurcation to periodic solutions with realistic data sets. The model is alsovalidated using 12 patient data obtained from the study, conducted at the University of SaoPaulo Hospital das clinicas