Asymptotic behavior of a stochastic delayed SEIR epidemic model with nonlinear incidence

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

doi:10.1016/j.physa.2016.06.095

Asymptotic behavior of a stochastic delayed SEIR 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

42 Scopus citations

Abstract

This paper is concerned with a stochastic delayed SEIR epidemic model with nonlinear incidence. Firstly we verify that there exists a unique global positive solution of the system. Then by constructing some suitable Lyapunov functions, we study the asymptotic behaviors of the disease-free equilibrium and the endemic equilibrium respectively.

Original language	English
Pages (from-to)	870-882
Number of pages	13
Journal	Physica A: Statistical Mechanics and its Applications
Volume	462
DOIs	https://doi.org/10.1016/j.physa.2016.06.095
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

Lyapunov function
Nonlinear incidence
Stochastic SEIR epidemic model
Time delays

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10.1016/j.physa.2016.06.095

Cite this

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title = "Asymptotic behavior of a stochastic delayed SEIR epidemic model with nonlinear incidence",

abstract = "This paper is concerned with a stochastic delayed SEIR epidemic model with nonlinear incidence. Firstly we verify that there exists a unique global positive solution of the system. Then by constructing some suitable Lyapunov functions, we study the asymptotic behaviors of the disease-free equilibrium and the endemic equilibrium respectively.",

keywords = "Lyapunov function, Nonlinear incidence, Stochastic SEIR epidemic model, Time delays",

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 - 2016/11/15

Y1 - 2016/11/15

N2 - This paper is concerned with a stochastic delayed SEIR epidemic model with nonlinear incidence. Firstly we verify that there exists a unique global positive solution of the system. Then by constructing some suitable Lyapunov functions, we study the asymptotic behaviors of the disease-free equilibrium and the endemic equilibrium respectively.

AB - This paper is concerned with a stochastic delayed SEIR epidemic model with nonlinear incidence. Firstly we verify that there exists a unique global positive solution of the system. Then by constructing some suitable Lyapunov functions, we study the asymptotic behaviors of the disease-free equilibrium and the endemic equilibrium respectively.

KW - Lyapunov function

KW - Nonlinear incidence

KW - Stochastic SEIR epidemic model

KW - Time delays

UR - https://www.scopus.com/pages/publications/84978863550

U2 - 10.1016/j.physa.2016.06.095

DO - 10.1016/j.physa.2016.06.095

M3 - Article

AN - SCOPUS:84978863550

SN - 0378-4371

VL - 462

SP - 870

EP - 882

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

Asymptotic behavior of a stochastic delayed SEIR epidemic model with nonlinear incidence

Abstract

UN SDGs

Keywords

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