Stability of discrete-time latent pathogen dynamics model with delay and cellular infection

被引：1

作者：

Elaiw, Ahmed M. ^{[1
]}

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

机构：

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

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

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2020年 / 38卷 / 03期

关键词：

Pathogen infection; cellular infection; global stability; nonstandard finite difference; Lyapunov function; VIRUS-TO-CELL; DIFFERENTIAL DRUG EFFICACY; GLOBAL PROPERTIES; POPULATION-DYNAMICS; THRESHOLD DYNAMICS; MATHEMATICAL-MODEL; IMMUNE-RESPONSES; HIV-1; PROGRESSION; SCHEME;

D O I：

10.3233/JIFS-179564

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper studies the global stability of pathogen dynamics model with pathogen-to-cell and cell-to-cell transmissions. We consider three types of time delays and two types of infected cells, latent and active. The model is given by a system of nonlinear delay differential equations which is discretized by utilizing nonstandard finite difference scheme. Positivity and boundedness properties of the solutions are proven. Global stability of the equilibria is established by constructing Lyapunov functions and applying LaSalle's invariance principle.

引用

页码：2789 / 2799

页数：11

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