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

被引：1

作者：

Boukhobza, Meriem ^{[1
]}

Debbouche, Amar ^{[2
,4
]}

Shangerganesh, Lingeshwaran ^{[3
]}

Torres, Delfim F. M. ^{[4
]}

机构：

[1] Univ Mostaganem, Dept Math & Informat, Mostaganem 27000, Algeria

[2] Guelma Univ, Dept Math, Guelma 24000, Algeria

[3] Natl Inst Technol Goa, Dept Appl Sci, Veroda 403703, Goa, India

[4] Univ Aveiro, Dept Math, R&D Unit CIDMA, P-3810193 Aveiro, Portugal

来源：

CHAOS SOLITONS & FRACTALS | 2024年 / 184卷

关键词：

Hepatitis B virus model; Variable-order calculus; Discrete analysis; Local stability; Numerical simulations; MATHEMATICAL-MODEL; TRANSMISSION DYNAMICS; FRACTIONAL-ORDER; STABILITY; EPIDEMIOLOGY; INFECTION; EXISTENCE;

D O I：

10.1016/j.chaos.2024.114987

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：8

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