Modelling the Adaptive Immune Response in HBV Infection Model with HBV DNA-Containing Capsids

被引：11

作者：

Harroudi, Sanaa ^{[1
,2
]}

Meskaf, Adil ^{[1
,3
]}

Allali, Karam ^{[1
]}

机构：

[1] Univ Hassan II Casablanca, Fac Sci & Technol, Lab Math & Applicat, POB 146, Mohammadia, Morocco

[2] Univ Hassan 2, ENCG Casablanca, Casablanca, Morocco

[3] Univ Chouaib Doukkali, Fac Econ & Social Legal Sci, Dept SEG, El Jadida, Morocco

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2023年 / 31卷 / 02期

关键词：

HBV infection; Adaptive immune response; Global stability; Numerical simulation; HEPATITIS-B INFECTION; GLOBAL STABILITY; ANTIBODY-RESPONSE; VIRUS-INFECTION; MECHANISMS; DYNAMICS; DISEASE;

D O I：

10.1007/s12591-020-00549-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to investigate a mathematical model describing the interactions between hepatitis B virus with DNA-containing capsids, liver cells (hepatocytes) and the adaptive immune response. This adaptive immunity will be represented by cytotoxic T-lymphocytes and antibody immune responses. The positivity and boundedness of solutions for non negative initial data are proved which is consistent with the biological studies. The local stability of the equilibria is established. In addition to this, the global stability of the disease-free equilibrium and the endemic equilibria is fulfilled by using appropriate Lyapunov functions. Finally, numerical simulations are performed to support our theoretical findings.

引用

页码：371 / 393

页数：23

共 25 条

[1] Development of the antibody response in acute HIV-1 infection [J].