Stochastic viral infection model with lytic and nonlytic immune responses driven by Levy noise

被引：18

作者：

Akdim, Khadija ^{[1
]}

Ez-zetouni, Adil ^{[1
]}

Danane, Jaouad ^{[2
]}

Allali, Karam ^{[2
]}

机构：

[1] Cadi Ayyad Univ, Fac Sci & Technol, Dept Math, POB 549, Marrakech 40000, Morocco

[2] Hassan II Univ Casablanca, Fac Sci & Technol, Lab Math & Applicat, POB 146, Mohammadia 20650, Morocco

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 549卷

关键词：

Viral infection model; Levy process; Lyapunov method; Persistence in mean; GLOBAL STABILITY; VIRUS-INFECTION; HIV-INFECTION; DYNAMICS;

D O I：

10.1016/j.physa.2020.124367

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we present and study a stochastic viral infection model with lytic and nonlytic immune responses driven by Levy noise. First, we show that this model has unique positive global solution. Using the Lyapunov method, we prove that disease-free equilibrium is stable. Furthermore, we give sufficient conditions for the persistence in mean of the viral infection. Finally, we illustrate our theoretical results by some numerical simulations. It is shown that even if the basic reproduction number is greater that unity, we can have the extinction of the infection. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：11

共 30 条

[1] Global Analysis for an HIV Infection Model with CTL Immune Response and Infected Cells in Eclipse Phase [J].