Stability and Hopf Bifurcation Analysis of Hepatitis B Infection Model with CTL Response Delay
European Journal of Molecular & Clinical Medicine,
2020, Volume 7, Issue 6, Pages 74-90
Abstract
In this paper, the Hepatitis B Virus (HBV) infectious model with Cytotoxic T-Lymphocyte (CTL) response delay and its effect on the stability of equilibrium has been investigated. The boundedness and non-negativity solutions of the proposed model were verified. The local stability of virus-free equilibrium and the infected equilibrium were determined by the basic reproduction number R0. Further, the existence of Hopf bifurcation at the infected equilibrium of CTL response was also observed. Using different set of parameters, the empirical findings in the study are shown with numerical simulations.
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