https://doi.org/10.1140/epjp/s13360-024-05743-6
Regular Article
On existence of traveling wave of an HBV infection dynamics model: a novel approach
Department of Mathematics, Indian Institute of Technology Guwahati, 781039, Guwahati, Assam, India
Received:
28
May
2024
Accepted:
12
October
2024
Published online:
2
November
2024
In this work, a hepatitis B virus infection dynamics model is proposed including the spatial dependence of viruses. The existence of traveling wave solutions for the proposed model is established through the application of the celebrated 
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 elasticities 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 observed that due to diffusion, viruses spread rapidly throughout the liver.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
