Modeling the dynamics of the Hepatitis B virus via a variable-order discrete system
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911885599703040 |
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| author | Boukhobza, Meriem Debbouche, Amar Shangerganesh, Lingeshwaran Torres, Delfim F. M. |
| author_facet | Boukhobza, Meriem Debbouche, Amar Shangerganesh, Lingeshwaran Torres, Delfim F. M. |
| contents | We investigate the dynamics of the hepatitis B virus by integrating variable-order calculus and discrete analysis. Specifically, we utilize the Caputo variable-order difference operator in this study. To establish the existence and uniqueness results of the model, we employ a fixed-point technique. Furthermore, we prove that the model exhibits bounded and positive solutions. Additionally, we explore the local stability of the proposed model by determining the basic reproduction number. Finally, we present several numerical simulations to illustrate the richness of our results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14887 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modeling the dynamics of the Hepatitis B virus via a variable-order discrete system Boukhobza, Meriem Debbouche, Amar Shangerganesh, Lingeshwaran Torres, Delfim F. M. Populations and Evolution Dynamical Systems We investigate the dynamics of the hepatitis B virus by integrating variable-order calculus and discrete analysis. Specifically, we utilize the Caputo variable-order difference operator in this study. To establish the existence and uniqueness results of the model, we employ a fixed-point technique. Furthermore, we prove that the model exhibits bounded and positive solutions. Additionally, we explore the local stability of the proposed model by determining the basic reproduction number. Finally, we present several numerical simulations to illustrate the richness of our results. |
| title | Modeling the dynamics of the Hepatitis B virus via a variable-order discrete system |
| topic | Populations and Evolution Dynamical Systems |
| url | https://arxiv.org/abs/2405.14887 |