Dynamics of a generalized age-structured model for HBV infection with capsids in presence of two treatments

被引：0

作者：

Warrak, El Mehdi ^{[1
]}

Hattaf, Khalid ^{[1
,2
]}

Yousfi, Noura ^{[1
]}

机构：

[1] Hassan II Univ Casablanca, Fac Sci Ben Msick, Lab Anal Modeling & Simulat LAMS, POB 7955 Sidi Othman, Casablanca, Morocco

[2] Ctr Reg Metiers Educ & Format CRMEF, Equipe Rech Modelisat & Enseignement Math ERMEM, Casablanca 20340, Morocco

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2024年 / 34卷 / 03期

关键词：

HBV infection; age; -structure; general incidence rate; uniform persistence; stability analysis; HEPATITIS-B INFECTION; STABILITY ANALYSIS;

D O I：

10.22436/jmcs.034.03.04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main aim of this paper is to propose and analyze the dynamics of a generalized age-structured model for hepatitis B virus (HBV) infection with HBV DNA-containing capsids and two treatments. Such treatments are pegylated interferon and lamivudine drugs which are used to block new infections of liver cells and stop viral infection. We first investigate the existence and uniqueness of solutions to the proposed model, as well as the existence of equilibria. Furthermore, the uniform persistence and the stability analysis are rigorously established by means of characteristic equations and Lyapunov functionals.

引用

页码：243 / 256

页数：14

共 24 条

[1] GLOBAL ANALYSIS OF AGE-STRUCTURED WITHIN-HOST VIRUS MODEL
Browne, Cameron J.
Pilyugin, Sergei S.
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2013, 18 (08): : 1999 - 2017
[2] AN AGE-STRUCTURED WITHIN-HOST MODEL FOR MULTISTRAIN MALARIA INFECTIONS
Demasse, Ramses Djidjou
Ducrot, Arnaud
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2013, 73 (01) : 572 - 593
[3] Hale J. K., 1988, Asymptotic behavior of dissipative systems, P2
[4] PERSISTENCE IN INFINITE-DIMENSIONAL SYSTEMS
HALE, JK
WALTMAN, P
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (02) : 388 - 395
[5] Hattaf K., 2016, INT J DYNAM CONTROL, V4, P254, DOI DOI 10.1007/S40435-015-0158-1
[6] A New Mixed Fractional Derivative with Applications in Computational Biology
Hattaf, Khalid
[J]. COMPUTATION, 2024, 12 (01)
[7] A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels
Hattaf, Khalid
[J]. FRACTAL AND FRACTIONAL, 2023, 7 (05)
[8] Global dynamics of an age-structured viral infection model with general incidence function and absorption
Hattaf, Khalid
Yang, Yu
[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2018, 11 (05)
[9] Hattaf K, 2013, ELECTRON J QUAL THEO, P1
[10] Mathematical analysis of global dynamics and optimal control of treatment for an age-structured HBV infection model
Liu, Lili
Ma, Xiaomin
Li, Yazhi
Liu, Xianning
[J]. CHAOS SOLITONS & FRACTALS, 2023, 177

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