Analysis of a multi-group alcoholism model with public health education under regime switching

Zhenfeng Shi; Daqing Jiang; Ningzhong Shi; Tasawar Hayat; Ahmed Alsaedi

doi:10.11948/20200370

Analysis of a multi-group alcoholism model with public health education under regime switching

Zhenfeng Shi
, Daqing Jiang
, Ningzhong Shi
, Tasawar Hayat
, Ahmed Alsaedi

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

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

3 Scopus citations

Abstract

In this paper, we study a multi-group stochastic alcoholism model with public health education, which is formulated as a piecewise deterministic Markov process. Through a rigorous analysis, we firstly show that the solution of the stochastic model is positive and global. Then we obtain sufficient conditions for the extinction of alcohol problems. In addition, sufficient conditions for the persistence in the mean of alcoholism are derived. Specifically, in the case of persistence, we prove the existence of positive recurrence of the solution to the model by employing suitable stochastic Lyapunov functions.

Original language	English
Pages (from-to)	2279-2302
Number of pages	24
Journal	Journal of Applied Analysis and Computation
Volume	11
Issue number	5
DOIs	https://doi.org/10.11948/20200370
State	Published - Oct 2021
Externally published	Yes

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Alcoholism
Extinction
Markovian switching
Multi-group model
Persistence in the mean
Positive recurrence

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10.11948/20200370

Cite this

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title = "Analysis of a multi-group alcoholism model with public health education under regime switching",

abstract = "In this paper, we study a multi-group stochastic alcoholism model with public health education, which is formulated as a piecewise deterministic Markov process. Through a rigorous analysis, we firstly show that the solution of the stochastic model is positive and global. Then we obtain sufficient conditions for the extinction of alcohol problems. In addition, sufficient conditions for the persistence in the mean of alcoholism are derived. Specifically, in the case of persistence, we prove the existence of positive recurrence of the solution to the model by employing suitable stochastic Lyapunov functions.",

keywords = "Alcoholism, Extinction, Markovian switching, Multi-group model, Persistence in the mean, Positive recurrence",

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

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T1 - Analysis of a multi-group alcoholism model with public health education under regime switching

AU - Shi, Zhenfeng

AU - Jiang, Daqing

AU - Shi, Ningzhong

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

PY - 2021/10

Y1 - 2021/10

N2 - In this paper, we study a multi-group stochastic alcoholism model with public health education, which is formulated as a piecewise deterministic Markov process. Through a rigorous analysis, we firstly show that the solution of the stochastic model is positive and global. Then we obtain sufficient conditions for the extinction of alcohol problems. In addition, sufficient conditions for the persistence in the mean of alcoholism are derived. Specifically, in the case of persistence, we prove the existence of positive recurrence of the solution to the model by employing suitable stochastic Lyapunov functions.

AB - In this paper, we study a multi-group stochastic alcoholism model with public health education, which is formulated as a piecewise deterministic Markov process. Through a rigorous analysis, we firstly show that the solution of the stochastic model is positive and global. Then we obtain sufficient conditions for the extinction of alcohol problems. In addition, sufficient conditions for the persistence in the mean of alcoholism are derived. Specifically, in the case of persistence, we prove the existence of positive recurrence of the solution to the model by employing suitable stochastic Lyapunov functions.

KW - Alcoholism

KW - Extinction

KW - Markovian switching

KW - Multi-group model

KW - Persistence in the mean

KW - Positive recurrence

UR - https://www.scopus.com/pages/publications/85116862094

U2 - 10.11948/20200370

DO - 10.11948/20200370

M3 - Article

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SP - 2279

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JO - Journal of Applied Analysis and Computation

JF - Journal of Applied Analysis and Computation

IS - 5

ER -

Analysis of a multi-group alcoholism model with public health education under regime switching

Abstract

UN SDGs

Keywords

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