Stability analysis of a general discrete-time pathogen infection model with humoral immunity

被引：34

作者：

Elaiw, Ahmed M. ^{[1
]}

Alshaikh, Matuka A. ^{[1
,2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Taif Univ, Fac Sci, Dept Math, At Taif, Saudi Arabia

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2019年 / 25卷 / 08期

关键词：

Pathogen infection; humoral immune response; global stability; discrete-time models; Lyapunov function; VIRUS DYNAMICS MODEL; DIFFERENTIAL DRUG EFFICACY; GLOBAL STABILITY; MATHEMATICAL-ANALYSIS; POPULATION-DYNAMICS; HIV-1; INFECTION; DELAY; PROGRESSION;

D O I：

10.1080/10236198.2019.1662411

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the global stability of a discrete-time pathogen infection model with humoral immunity. The incidence rate of infection as well as the production and clearance rates of the cells, pathogens and antibodies are modelled by general functions. We use nonstandard finite difference method to discretize the continuous-time model. Two threshold parameters are derived, the basic reproduction number and the humoral immune response activation number . The basic and global properties of the model are established. A global stability analysis of the equilibria is performed using the Lyapunov method. Theoretical results are illustrated by numerical simulations.

引用

页码：1149 / 1172

页数：24

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