Stationary distribution and extinction of a stochastic HIV-1 model with Beddington–DeAngelis infection rate

Qun Liu; Daqing Jiang; Tasawar Hayat; Ahmed Alsaedi

doi:10.1016/j.physa.2018.08.088

Stationary distribution and extinction of a stochastic HIV-1 model with Beddington–DeAngelis infection rate

Qun Liu
, Daqing Jiang
, Tasawar Hayat
, Ahmed Alsaedi

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

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

9 Scopus citations

Abstract

In this paper, we consider a stochastic HIV-1 model with Beddington–DeAngelis infection rate. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a unique ergodic stationary distribution to the model. Then we obtain sufficient conditions for extinction of the disease. The existence of a stationary distribution implies stochastic weak stability.

Original language	English
Pages (from-to)	414-426
Number of pages	13
Journal	Physica A: Statistical Mechanics and its Applications
Volume	512
DOIs	https://doi.org/10.1016/j.physa.2018.08.088
State	Published - 15 Dec 2018
Externally published	Yes

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Beddington–DeAngelis infection rate
Extinction
Stationary distribution
Stochastic HIV-1 model

Access to Document

10.1016/j.physa.2018.08.088

Cite this

@article{9590ae91a21342518460168086a70c6d,

title = "Stationary distribution and extinction of a stochastic HIV-1 model with Beddington–DeAngelis infection rate",

abstract = "In this paper, we consider a stochastic HIV-1 model with Beddington–DeAngelis infection rate. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a unique ergodic stationary distribution to the model. Then we obtain sufficient conditions for extinction of the disease. The existence of a stationary distribution implies stochastic weak stability.",

keywords = "Beddington–DeAngelis infection rate, Extinction, Stationary distribution, Stochastic HIV-1 model",

author = "Qun Liu and Daqing Jiang and Tasawar Hayat and Ahmed Alsaedi",

note = "Publisher Copyright: {\textcopyright} 2018",

year = "2018",

month = dec,

day = "15",

doi = "10.1016/j.physa.2018.08.088",

language = "English",

volume = "512",

pages = "414--426",

journal = "Physica A: Statistical Mechanics and its Applications",

issn = "0378-4371",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Stationary distribution and extinction of a stochastic HIV-1 model with Beddington–DeAngelis infection rate

AU - Liu, Qun

AU - Jiang, Daqing

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

PY - 2018/12/15

Y1 - 2018/12/15

N2 - In this paper, we consider a stochastic HIV-1 model with Beddington–DeAngelis infection rate. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a unique ergodic stationary distribution to the model. Then we obtain sufficient conditions for extinction of the disease. The existence of a stationary distribution implies stochastic weak stability.

AB - In this paper, we consider a stochastic HIV-1 model with Beddington–DeAngelis infection rate. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a unique ergodic stationary distribution to the model. Then we obtain sufficient conditions for extinction of the disease. The existence of a stationary distribution implies stochastic weak stability.

KW - Beddington–DeAngelis infection rate

KW - Extinction

KW - Stationary distribution

KW - Stochastic HIV-1 model

UR - https://www.scopus.com/pages/publications/85051381295

U2 - 10.1016/j.physa.2018.08.088

DO - 10.1016/j.physa.2018.08.088

M3 - Article

AN - SCOPUS:85051381295

SN - 0378-4371

VL - 512

SP - 414

EP - 426

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

Stationary distribution and extinction of a stochastic HIV-1 model with Beddington–DeAngelis infection rate

Abstract

UN SDGs

Keywords

Access to Document

Other files and links

Fingerprint

Cite this