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

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...

Full description

Saved in:
Bibliographic Details
Published in:Physica A 2017-03, Vol.469, p.706-717
Main Authors: Jiang, Daqing, Liu, Qun, Shi, Ningzhong, Hayat, Tasawar, Alsaedi, Ahmed, Xia, Peiyan
Format: Article
Language:English
Subjects:
Extinction
Lyapunov function
Stationary distribution
Stochastic HIV-1 infection model
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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. •A stochastic HIV-I infection model with logistic growth is proposed and studied.•We establish sufficient conditions for the existence of ergodic stationary distribution.•We obtain sufficient conditions for extinction of the infection.•The stationary distribution shows that the infection can become persistent in vivo.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2016.11.078