Dynamics of a stochastic tuberculosis model with constant recruitment and varying total population size

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

doi:10.1016/j.physa.2016.11.053

Dynamics of a stochastic tuberculosis model with constant recruitment and varying total population size

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

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

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

12 Scopus citations

Abstract

In this paper, we develop a mathematical model for a tuberculosis model with constant recruitment and varying total population size by incorporating stochastic perturbations. By constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of an ergodic stationary distribution as well as extinction of the disease to the stochastic system.

Original language	English
Pages (from-to)	518-530
Number of pages	13
Journal	Physica A: Statistical Mechanics and its Applications
Volume	469
DOIs	https://doi.org/10.1016/j.physa.2016.11.053
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 tuberculosis model

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10.1016/j.physa.2016.11.053

Cite this

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title = "Dynamics of a stochastic tuberculosis model with constant recruitment and varying total population size",

abstract = "In this paper, we develop a mathematical model for a tuberculosis model with constant recruitment and varying total population size by incorporating stochastic perturbations. By constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of an ergodic stationary distribution as well as extinction of the disease to the stochastic system.",

keywords = "Extinction, Lyapunov function, Stationary distribution, Stochastic tuberculosis model",

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

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AU - Liu, Qun

AU - Jiang, Daqing

AU - Shi, Ningzhong

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

PY - 2017/3/1

Y1 - 2017/3/1

N2 - In this paper, we develop a mathematical model for a tuberculosis model with constant recruitment and varying total population size by incorporating stochastic perturbations. By constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of an ergodic stationary distribution as well as extinction of the disease to the stochastic system.

AB - In this paper, we develop a mathematical model for a tuberculosis model with constant recruitment and varying total population size by incorporating stochastic perturbations. By constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of an ergodic stationary distribution as well as extinction of the disease to the stochastic system.

KW - Extinction

KW - Lyapunov function

KW - Stationary distribution

KW - Stochastic tuberculosis model

UR - https://www.scopus.com/pages/publications/84999851905

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M3 - Article

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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 tuberculosis model with constant recruitment and varying total population size

Abstract

UN SDGs

Keywords

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