On existence of traveling wave of an HBV infection dynamics model: A novel approach
arxiv(2024)
Abstract
In this work, a hepatitis B virus infection dynamics model is proposed
including the spatial dependence of viruses. The existence of traveling waves
for the proposed model is established through the application of the celebrated
Gersgorin theorem. The procedure followed to establish the existence of a
traveling wave solution is innovative and probably the first attempt of this
particular approach. The elasticity of basic reproduction number with respect
to some model parameters are also shown. Furthermore, the effects of spatial
diffusivity of the viruses on infection are studied, and it is noticed that due
to the diffusion, viruses spread rapidly throughout the liver.
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