Qualitative Analysis of an HIV/AIDS Model with Treatment and Nonlinear Perturbation

Miaomiao Gao; Daqing Jiang; Tasawar Hayat

doi:10.1007/s12346-022-00615-9

Qualitative Analysis of an HIV/AIDS Model with Treatment and Nonlinear Perturbation

Miaomiao Gao
, Daqing Jiang
, Tasawar Hayat

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

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

6 Scopus citations

Abstract

In this paper, we consider a high-dimensional stochastic HIV/AIDS model that incorporates both multiple stages treatment and higher order perturbation. Firstly, we establish sufficient criteria for the existence of a unique ergodic stationary distribution by making use of stochastic Lyapunov analysis method. Stationary distribution shows that the disease will be persistent in the long term. Then, conditions for extinction of the disease are obtained. Theoretical analysis indicates that large noise intensity can suppress the prevalence of HIV/AIDS epidemic. Finally, we provide some numerical simulations to illustrate the analytical results.

Original language	English
Article number	85
Journal	Qualitative Theory of Dynamical Systems
Volume	21
Issue number	3
DOIs	https://doi.org/10.1007/s12346-022-00615-9
State	Published - Sep 2022
Externally published	Yes

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Extinction
Nonlinear perturbation
Stationary distribution
Stochastic HIV/AIDS model
Treatment

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10.1007/s12346-022-00615-9

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title = "Qualitative Analysis of an HIV/AIDS Model with Treatment and Nonlinear Perturbation",

abstract = "In this paper, we consider a high-dimensional stochastic HIV/AIDS model that incorporates both multiple stages treatment and higher order perturbation. Firstly, we establish sufficient criteria for the existence of a unique ergodic stationary distribution by making use of stochastic Lyapunov analysis method. Stationary distribution shows that the disease will be persistent in the long term. Then, conditions for extinction of the disease are obtained. Theoretical analysis indicates that large noise intensity can suppress the prevalence of HIV/AIDS epidemic. Finally, we provide some numerical simulations to illustrate the analytical results.",

keywords = "Extinction, Nonlinear perturbation, Stationary distribution, Stochastic HIV/AIDS model, Treatment",

author = "Miaomiao Gao and Daqing Jiang and Tasawar Hayat",

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T1 - Qualitative Analysis of an HIV/AIDS Model with Treatment and Nonlinear Perturbation

AU - Gao, Miaomiao

AU - Jiang, Daqing

AU - Hayat, Tasawar

PY - 2022/9

Y1 - 2022/9

N2 - In this paper, we consider a high-dimensional stochastic HIV/AIDS model that incorporates both multiple stages treatment and higher order perturbation. Firstly, we establish sufficient criteria for the existence of a unique ergodic stationary distribution by making use of stochastic Lyapunov analysis method. Stationary distribution shows that the disease will be persistent in the long term. Then, conditions for extinction of the disease are obtained. Theoretical analysis indicates that large noise intensity can suppress the prevalence of HIV/AIDS epidemic. Finally, we provide some numerical simulations to illustrate the analytical results.

AB - In this paper, we consider a high-dimensional stochastic HIV/AIDS model that incorporates both multiple stages treatment and higher order perturbation. Firstly, we establish sufficient criteria for the existence of a unique ergodic stationary distribution by making use of stochastic Lyapunov analysis method. Stationary distribution shows that the disease will be persistent in the long term. Then, conditions for extinction of the disease are obtained. Theoretical analysis indicates that large noise intensity can suppress the prevalence of HIV/AIDS epidemic. Finally, we provide some numerical simulations to illustrate the analytical results.

KW - Extinction

KW - Nonlinear perturbation

KW - Stationary distribution

KW - Stochastic HIV/AIDS model

KW - Treatment

UR - https://www.scopus.com/pages/publications/85131758066

U2 - 10.1007/s12346-022-00615-9

DO - 10.1007/s12346-022-00615-9

M3 - Article

AN - SCOPUS:85131758066

SN - 1575-5460

VL - 21

JO - Qualitative Theory of Dynamical Systems

JF - Qualitative Theory of Dynamical Systems

IS - 3

M1 - 85

ER -

Qualitative Analysis of an HIV/AIDS Model with Treatment and Nonlinear Perturbation

Abstract

UN SDGs

Keywords

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