Stability analysis of an SEIQV epidemic model with saturated incidence rate

Xingbo Liu; Lijuan Yang

doi:10.1016/j.nonrwa.2012.03.010

Stability analysis of an SEIQV epidemic model with saturated incidence rate

Xingbo Liu^*
, Lijuan Yang

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

120 Scopus citations

Abstract

In this article, an SEIQV epidemic model with saturated incidence rate is considered. The basic reproduction number ^R0 is found. If ^R0≤1, the disease-free equilibrium is globally asymptotically stable; if ^R0>1, endemic equilibrium is globally asymptotically stable and the disease is persistent. Numerical simulations are carried out to illustrate the feasibility of the obtained results, especially the effect of vaccination to eliminate the disease.

Original language	English
Pages (from-to)	2671-2679
Number of pages	9
Journal	Nonlinear Analysis: Real World Applications
Volume	13
Issue number	6
DOIs	https://doi.org/10.1016/j.nonrwa.2012.03.010
State	Published - Dec 2012

Keywords

Basic reproduction number
Disease-free equilibrium
Endemic equilibrium
Epidemic model
Stability

UN SDGs

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

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10.1016/j.nonrwa.2012.03.010

Cite this

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title = "Stability analysis of an SEIQV epidemic model with saturated incidence rate",

abstract = "In this article, an SEIQV epidemic model with saturated incidence rate is considered. The basic reproduction number R0 is found. If R0≤1, the disease-free equilibrium is globally asymptotically stable; if R0>1, endemic equilibrium is globally asymptotically stable and the disease is persistent. Numerical simulations are carried out to illustrate the feasibility of the obtained results, especially the effect of vaccination to eliminate the disease.",

keywords = "Basic reproduction number, Disease-free equilibrium, Endemic equilibrium, Epidemic model, Stability",

author = "Xingbo Liu and Lijuan Yang",

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AU - Liu, Xingbo

AU - Yang, Lijuan

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AB - In this article, an SEIQV epidemic model with saturated incidence rate is considered. The basic reproduction number R0 is found. If R0≤1, the disease-free equilibrium is globally asymptotically stable; if R0>1, endemic equilibrium is globally asymptotically stable and the disease is persistent. Numerical simulations are carried out to illustrate the feasibility of the obtained results, especially the effect of vaccination to eliminate the disease.

KW - Basic reproduction number

KW - Disease-free equilibrium

KW - Endemic equilibrium

KW - Epidemic model

KW - Stability

UR - https://www.scopus.com/pages/publications/84861937759

U2 - 10.1016/j.nonrwa.2012.03.010

DO - 10.1016/j.nonrwa.2012.03.010

M3 - 文章

AN - SCOPUS:84861937759

SN - 1468-1218

VL - 13

SP - 2671

EP - 2679

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 6

ER -

Stability analysis of an SEIQV epidemic model with saturated incidence rate

Abstract

Keywords

UN SDGs

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