Dynamics of DS-I-A epidemic model with multiple stochastic perturbations

Songnan Liu; Daqing Jiang; Xiaojie Xu; Ahmed Alsaedi; Tasawar Hayat

doi:10.1002/mma.5115

Dynamics of DS-I-A epidemic model with multiple stochastic perturbations

Songnan Liu
, Daqing Jiang
, Xiaojie Xu
, Ahmed Alsaedi
, Tasawar Hayat

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

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

3 Scopus citations

Abstract

In this paper, we investigate the dynamics behavior of DS-I-A epidemic model with multiple stochastic perturbations. Sufficient conditions for extinction of disease are established. Especially, we conclude that there is a stationary distribution for the stochastic system and it has ergodicity under appropriate conditions. At last, some examples and simulations are provided to illustrate our results.

Original language	English
Pages (from-to)	6024-6049
Number of pages	26
Journal	Mathematical Methods in the Applied Sciences
Volume	41
Issue number	16
DOIs	https://doi.org/10.1002/mma.5115
State	Published - 15 Nov 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

ergodicity
extinction
infectious disease models
multiple stochastic perturbations
stationary Markov process

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10.1002/mma.5115

Cite this

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title = "Dynamics of DS-I-A epidemic model with multiple stochastic perturbations",

abstract = "In this paper, we investigate the dynamics behavior of DS-I-A epidemic model with multiple stochastic perturbations. Sufficient conditions for extinction of disease are established. Especially, we conclude that there is a stationary distribution for the stochastic system and it has ergodicity under appropriate conditions. At last, some examples and simulations are provided to illustrate our results.",

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AU - Jiang, Daqing

AU - Xu, Xiaojie

AU - Alsaedi, Ahmed

AU - Hayat, Tasawar

PY - 2018/11/15

Y1 - 2018/11/15

N2 - In this paper, we investigate the dynamics behavior of DS-I-A epidemic model with multiple stochastic perturbations. Sufficient conditions for extinction of disease are established. Especially, we conclude that there is a stationary distribution for the stochastic system and it has ergodicity under appropriate conditions. At last, some examples and simulations are provided to illustrate our results.

AB - In this paper, we investigate the dynamics behavior of DS-I-A epidemic model with multiple stochastic perturbations. Sufficient conditions for extinction of disease are established. Especially, we conclude that there is a stationary distribution for the stochastic system and it has ergodicity under appropriate conditions. At last, some examples and simulations are provided to illustrate our results.

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KW - extinction

KW - infectious disease models

KW - multiple stochastic perturbations

KW - stationary Markov process

UR - https://www.scopus.com/pages/publications/85055321093

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ER -

Dynamics of DS-I-A epidemic model with multiple stochastic perturbations

Abstract

UN SDGs

Keywords

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