1. Dynamics of a diffusion-driven HBV infection model with capsids and time delay.
- Author
-
Manna, Kalyan
- Subjects
HEPATITIS B ,CAPSIDS ,LIVER cells ,TIME delay systems ,LYAPUNOV functions ,MATHEMATICAL models - Abstract
In this paper, a diffusive hepatitis B virus (HBV) infection model with a discrete time delay is presented and analyzed, where the spatial mobility of both intracellular capsid covered HBV DNA and HBV and the intracellular delay in the reproduction of infected hepatocytes are taken into account. We define the basic reproduction number that determines the dynamical behavior of the model. The local and global stability of the spatially homogeneous steady states are analyzed by using the linearization technique and the direct Lyapunov method, respectively. It is shown that the susceptible uninfected steady state is globally asymptotically stable whenever and is unstable whenever . Also, the infected steady state is globally asymptotically stable when . Finally, numerical simulations are carried out to illustrate the results obtained. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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