Dynamics of a stochastic tuberculosis model with antibiotic resistance

Qun Liu; Daqing Jiang; Tasawar Hayat; Ahmed Alsaedi

doi:10.1016/j.chaos.2018.02.033

Dynamics of a stochastic tuberculosis model with antibiotic resistance

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

25 Scopus citations

Abstract

In this paper, we study a stochastic tuberculosis model with antibiotic resistance. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the model. Moreover, 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)	223-230
Number of pages	8
Journal	Chaos, Solitons and Fractals
Volume	109
DOIs	https://doi.org/10.1016/j.chaos.2018.02.033
State	Published - Apr 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

Antibiotic resistance
Ergodicity
Extinction
Stationary distribution
Stochastic tuberculosis model

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10.1016/j.chaos.2018.02.033

Cite this

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title = "Dynamics of a stochastic tuberculosis model with antibiotic resistance",

abstract = "In this paper, we study a stochastic tuberculosis model with antibiotic resistance. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the model. Moreover, we obtain sufficient conditions for extinction of the disease. The existence of a stationary distribution implies stochastic weak stability.",

keywords = "Antibiotic resistance, Ergodicity, Extinction, Stationary distribution, Stochastic tuberculosis model",

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

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year = "2018",

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doi = "10.1016/j.chaos.2018.02.033",

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AU - Liu, Qun

AU - Jiang, Daqing

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

PY - 2018/4

Y1 - 2018/4

N2 - In this paper, we study a stochastic tuberculosis model with antibiotic resistance. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the model. Moreover, we obtain sufficient conditions for extinction of the disease. The existence of a stationary distribution implies stochastic weak stability.

AB - In this paper, we study a stochastic tuberculosis model with antibiotic resistance. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the model. Moreover, we obtain sufficient conditions for extinction of the disease. The existence of a stationary distribution implies stochastic weak stability.

KW - Antibiotic resistance

KW - Ergodicity

KW - Extinction

KW - Stationary distribution

KW - Stochastic tuberculosis model

UR - https://www.scopus.com/pages/publications/85042878545

U2 - 10.1016/j.chaos.2018.02.033

DO - 10.1016/j.chaos.2018.02.033

M3 - Article

AN - SCOPUS:85042878545

SN - 0960-0779

VL - 109

SP - 223

EP - 230

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

ER -

Dynamics of a stochastic tuberculosis model with antibiotic resistance

Abstract

UN SDGs

Keywords

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