Nontrivial periodic solution of a stochastic non-autonomous SISV epidemic model

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

doi:10.1016/j.physa.2016.06.041

Nontrivial periodic solution of a stochastic non-autonomous SISV epidemic model

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

21 Scopus citations

Abstract

In this paper, we consider a stochastic non-autonomous SISV epidemic model. For the non-autonomous periodic system, firstly, we get the threshold of the system which determines whether the epidemic occurs or not. Then in the case of persistence, we show that there exists at least one nontrivial positive periodic solution of the stochastic system.

Original language	English
Pages (from-to)	837-845
Number of pages	9
Journal	Physica A: Statistical Mechanics and its Applications
Volume	462
DOIs	https://doi.org/10.1016/j.physa.2016.06.041
State	Published - 15 Nov 2016
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
Periodic solution
Persistence
Stochastic SISV epidemic model
Threshold

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10.1016/j.physa.2016.06.041

Cite this

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abstract = "In this paper, we consider a stochastic non-autonomous SISV epidemic model. For the non-autonomous periodic system, firstly, we get the threshold of the system which determines whether the epidemic occurs or not. Then in the case of persistence, we show that there exists at least one nontrivial positive periodic solution of the stochastic system.",

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AU - Liu, Qun

AU - Jiang, Daqing

AU - Shi, Ningzhong

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

PY - 2016/11/15

Y1 - 2016/11/15

N2 - In this paper, we consider a stochastic non-autonomous SISV epidemic model. For the non-autonomous periodic system, firstly, we get the threshold of the system which determines whether the epidemic occurs or not. Then in the case of persistence, we show that there exists at least one nontrivial positive periodic solution of the stochastic system.

AB - In this paper, we consider a stochastic non-autonomous SISV epidemic model. For the non-autonomous periodic system, firstly, we get the threshold of the system which determines whether the epidemic occurs or not. Then in the case of persistence, we show that there exists at least one nontrivial positive periodic solution of the stochastic system.

KW - Extinction

KW - Periodic solution

KW - Persistence

KW - Stochastic SISV epidemic model

KW - Threshold

UR - https://www.scopus.com/pages/publications/84978800373

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M3 - Article

AN - SCOPUS:84978800373

SN - 0378-4371

VL - 462

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

Nontrivial periodic solution of a stochastic non-autonomous SISV epidemic model

Abstract

UN SDGs

Keywords

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