On existence of traveling wave of an HBV infection dynamics model: A novel approach
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911770943160320 |
|---|---|
| author | Sutradhar, Rupchand Dalal, D C |
| author_facet | Sutradhar, Rupchand Dalal, D C |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02770 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On existence of traveling wave of an HBV infection dynamics model: A novel approach Sutradhar, Rupchand Dalal, D C Dynamical Systems 35C07, 37N25 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. |
| title | On existence of traveling wave of an HBV infection dynamics model: A novel approach |
| topic | Dynamical Systems 35C07, 37N25 |
| url | https://arxiv.org/abs/2402.02770 |