Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses

Kai Qi; Daqing Jiang; Tasawar Hayat; Ahmed Alsaedi

doi:10.1016/j.matcom.2021.05.009

Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses

Kai Qi
, Daqing Jiang
, Tasawar Hayat
, Ahmed Alsaedi

China University of Petroleum (East China)
King Abdulaziz University
Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

This study investigated the impact of white noise on the HIV/AIDS model with a cytotoxic T lymphocyte (CTL) immune response. The model introduced the interactions between the virus and two kinds of target cells, CD4+ T cells and macrophages. It was theoretically proved that the solution of the stochastic model is positive and global, as well as the existence of an ergodic stationary distribution. The sufficient conditions were established for viral eradication. By comparing these new results to those of a deterministic model, it is determined that white noise can promote the extinction of the virus. Theoretical results have been verified by numerical simulation of several examples.

Original language	English
Pages (from-to)	548-570
Number of pages	23
Journal	Mathematics and Computers in Simulation
Volume	188
DOIs	https://doi.org/10.1016/j.matcom.2021.05.009
State	Published - Oct 2021
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

CD4+ T cells and macrophages
CTL immune response
Extinction
HIV infection
Stationary distribution

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10.1016/j.matcom.2021.05.009

Cite this

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title = "Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses",

abstract = "This study investigated the impact of white noise on the HIV/AIDS model with a cytotoxic T lymphocyte (CTL) immune response. The model introduced the interactions between the virus and two kinds of target cells, CD4+ T cells and macrophages. It was theoretically proved that the solution of the stochastic model is positive and global, as well as the existence of an ergodic stationary distribution. The sufficient conditions were established for viral eradication. By comparing these new results to those of a deterministic model, it is determined that white noise can promote the extinction of the virus. Theoretical results have been verified by numerical simulation of several examples.",

keywords = "CD4+ T cells and macrophages, CTL immune response, Extinction, HIV infection, Stationary distribution",

author = "Kai Qi and Daqing Jiang and Tasawar Hayat and Ahmed Alsaedi",

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AU - Qi, Kai

AU - Jiang, Daqing

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

PY - 2021/10

Y1 - 2021/10

N2 - This study investigated the impact of white noise on the HIV/AIDS model with a cytotoxic T lymphocyte (CTL) immune response. The model introduced the interactions between the virus and two kinds of target cells, CD4+ T cells and macrophages. It was theoretically proved that the solution of the stochastic model is positive and global, as well as the existence of an ergodic stationary distribution. The sufficient conditions were established for viral eradication. By comparing these new results to those of a deterministic model, it is determined that white noise can promote the extinction of the virus. Theoretical results have been verified by numerical simulation of several examples.

AB - This study investigated the impact of white noise on the HIV/AIDS model with a cytotoxic T lymphocyte (CTL) immune response. The model introduced the interactions between the virus and two kinds of target cells, CD4+ T cells and macrophages. It was theoretically proved that the solution of the stochastic model is positive and global, as well as the existence of an ergodic stationary distribution. The sufficient conditions were established for viral eradication. By comparing these new results to those of a deterministic model, it is determined that white noise can promote the extinction of the virus. Theoretical results have been verified by numerical simulation of several examples.

KW - CD4+ T cells and macrophages

KW - CTL immune response

KW - Extinction

KW - HIV infection

KW - Stationary distribution

UR - https://www.scopus.com/pages/publications/85105748065

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DO - 10.1016/j.matcom.2021.05.009

M3 - Article

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VL - 188

SP - 548

EP - 570

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

ER -

Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses

Abstract

UN SDGs

Keywords

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