Asymptotic behaviors of a stochastic delayed SIR epidemic model with nonlinear incidence

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

doi:10.1016/j.cnsns.2016.04.023

Asymptotic behaviors of a stochastic delayed SIR epidemic model with nonlinear incidence

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

48 Scopus citations

Abstract

In this paper, we consider a stochastic delayed SIR epidemic model with nonlinear incidence. We firstly show that the system has a unique global positive solution with any positive initial value, then by constructing some suitable Lyapunov functionals, we investigate the asymptotic behaviors of the disease-free equilibrium and the endemic equilibrium, respectively.

Original language	English
Pages (from-to)	89-99
Number of pages	11
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	40
DOIs	https://doi.org/10.1016/j.cnsns.2016.04.023
State	Published - 1 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

Lyapunov functional
Nonlinear incidence
Stochastic SIR epidemic model
Time delay

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10.1016/j.cnsns.2016.04.023

Cite this

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title = "Asymptotic behaviors of a stochastic delayed SIR epidemic model with nonlinear incidence",

abstract = "In this paper, we consider a stochastic delayed SIR epidemic model with nonlinear incidence. We firstly show that the system has a unique global positive solution with any positive initial value, then by constructing some suitable Lyapunov functionals, we investigate the asymptotic behaviors of the disease-free equilibrium and the endemic equilibrium, respectively.",

keywords = "Lyapunov functional, Nonlinear incidence, Stochastic SIR epidemic model, Time delay",

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

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T1 - Asymptotic behaviors of a stochastic delayed SIR epidemic model with nonlinear incidence

AU - Liu, Qun

AU - Jiang, Daqing

AU - Shi, Ningzhong

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

PY - 2016/11/1

Y1 - 2016/11/1

N2 - In this paper, we consider a stochastic delayed SIR epidemic model with nonlinear incidence. We firstly show that the system has a unique global positive solution with any positive initial value, then by constructing some suitable Lyapunov functionals, we investigate the asymptotic behaviors of the disease-free equilibrium and the endemic equilibrium, respectively.

AB - In this paper, we consider a stochastic delayed SIR epidemic model with nonlinear incidence. We firstly show that the system has a unique global positive solution with any positive initial value, then by constructing some suitable Lyapunov functionals, we investigate the asymptotic behaviors of the disease-free equilibrium and the endemic equilibrium, respectively.

KW - Lyapunov functional

KW - Nonlinear incidence

KW - Stochastic SIR epidemic model

KW - Time delay

UR - https://www.scopus.com/pages/publications/84966277095

U2 - 10.1016/j.cnsns.2016.04.023

DO - 10.1016/j.cnsns.2016.04.023

M3 - Article

AN - SCOPUS:84966277095

SN - 1007-5704

VL - 40

SP - 89

EP - 99

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

ER -

Asymptotic behaviors of a stochastic delayed SIR epidemic model with nonlinear incidence

Abstract

UN SDGs

Keywords

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