Dynamics of a stochastic HIV-1 infection model with logistic growth

Daqing Jiang; Qun Liu; Ningzhong Shi; Tasawar Hayat; Ahmed Alsaedi; Peiyan Xia

doi:10.1016/j.physa.2016.11.078

Dynamics of a stochastic HIV-1 infection model with logistic growth

Daqing Jiang
, Qun Liu
, Ningzhong Shi
, Tasawar Hayat
, Ahmed Alsaedi
, Peiyan Xia

Northeast Normal University
Faculty of Sciences, King Abdulaziz University
China University of Petroleum (East China)
Yulin Normal University
Quaid-I-Azam University

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

42 Scopus citations

Abstract

This paper is concerned with a stochastic HIV-1 infection model with logistic growth. Firstly, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic stationary distribution of the solution to the HIV-1 infection model. Then we obtain sufficient conditions for extinction of the infection. The stationary distribution shows that the infection can become persistent in vivo.

Original language	English
Pages (from-to)	706-717
Number of pages	12
Journal	Physica A: Statistical Mechanics and its Applications
Volume	469
DOIs	https://doi.org/10.1016/j.physa.2016.11.078
State	Published - 1 Mar 2017
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
Lyapunov function
Stationary distribution
Stochastic HIV-1 infection model

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10.1016/j.physa.2016.11.078

Cite this

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abstract = "This paper is concerned with a stochastic HIV-1 infection model with logistic growth. Firstly, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic stationary distribution of the solution to the HIV-1 infection model. Then we obtain sufficient conditions for extinction of the infection. The stationary distribution shows that the infection can become persistent in vivo.",

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AU - Liu, Qun

AU - Shi, Ningzhong

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

AU - Xia, Peiyan

PY - 2017/3/1

Y1 - 2017/3/1

N2 - This paper is concerned with a stochastic HIV-1 infection model with logistic growth. Firstly, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic stationary distribution of the solution to the HIV-1 infection model. Then we obtain sufficient conditions for extinction of the infection. The stationary distribution shows that the infection can become persistent in vivo.

AB - This paper is concerned with a stochastic HIV-1 infection model with logistic growth. Firstly, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic stationary distribution of the solution to the HIV-1 infection model. Then we obtain sufficient conditions for extinction of the infection. The stationary distribution shows that the infection can become persistent in vivo.

KW - Extinction

KW - Lyapunov function

KW - Stationary distribution

KW - Stochastic HIV-1 infection model

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

Dynamics of a stochastic HIV-1 infection model with logistic growth

Abstract

UN SDGs

Keywords

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