Modeling the dynamics of the Hepatitis B virus via a variable-order discrete system

Meriem Boukhobza, Amar Debbouche, Lingeshwaran Shangerganesh and Delfim F.M. Torres

Chaos, Solitons & Fractals, 2024, vol. 184, issue C

Abstract: 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.

Keywords: Hepatitis B virus model; Variable-order calculus; Discrete analysis; Local stability; Numerical simulations (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005393

DOI: 10.1016/j.chaos.2024.114987

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