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

Autor:	Boukhobza, Meriem, Debbouche, Amar, Shangerganesh, Lingeshwaran, Torres, Delfim F. M.
Rok vydání:	2024
Předmět:	Quantitative Biology - Populations and Evolution Mathematics - Dynamical Systems
Zdroj:	Chaos Solitons Fractals 184 (2024), Art. 114987, 8pp
Druh dokumentu:	Working Paper
DOI:	10.1016/j.chaos.2024.114987
Popis:	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. Comment: This is a preprint whose final form is published in 'Chaos, Solitons and Fractals' (see https://doi.org/10.1016/j.chaos.2024.114987)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.14887 Zobrazit plný text záznamu View this record from Arxiv