Global stability of an SIS epidemic model with feedback mechanism on networks

Global stability of an SIS epidemic model with feedback mechanism on networks

Abstract We study the global stability of endemic equilibrium of an SIS epidemic model with feedback mechanism on networks. The model was proposed by J. Zhang and J. Sun (Physica A 394:24–32, 2014), who obtained the local asymptotic stability of endemic equilibrium. Our main purpose is to show that...

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Main Authors: Xiaodan Wei, Gaochao Xu, Wenshu Zhou
Format: Article
Language:English
Published: SpringerOpen 2018-02-01
Series:Advances in Difference Equations
Subjects:
Epidemic model
Complex network
Feedback mechanism
Global stability
Online Access:http://link.springer.com/article/10.1186/s13662-018-1501-6
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spelling doaj-afe839b270e64b419e875a9605a02fc02020-11-25T00:09:04ZengSpringerOpenAdvances in Difference Equations1687-18472018-02-012018111410.1186/s13662-018-1501-6Global stability of an SIS epidemic model with feedback mechanism on networksXiaodan Wei0Gaochao Xu1Wenshu Zhou2College of Computer Science and Technology, Jilin UniversityCollege of Computer Science and Technology, Jilin UniversityDepartment of Mathematics, Dalian Nationalities UniversityAbstract We study the global stability of endemic equilibrium of an SIS epidemic model with feedback mechanism on networks. The model was proposed by J. Zhang and J. Sun (Physica A 394:24–32, 2014), who obtained the local asymptotic stability of endemic equilibrium. Our main purpose is to show that if the feedback parameter is sufficiently large or if the basic reproductive number belongs to the interval (1,2] $(1, 2]$, then the endemic equilibrium is globally asymptotically stable. We also present numerical simulations to illustrate the theoretical results.http://link.springer.com/article/10.1186/s13662-018-1501-6Epidemic modelComplex networkFeedback mechanismGlobal stability
collection DOAJ
language English
format Article
sources DOAJ
author Xiaodan Wei
Gaochao Xu
Wenshu Zhou
spellingShingle Xiaodan Wei
Gaochao Xu
Wenshu Zhou
Global stability of an SIS epidemic model with feedback mechanism on networks
Advances in Difference Equations
Epidemic model
Complex network
Feedback mechanism
Global stability
author_facet Xiaodan Wei
Gaochao Xu
Wenshu Zhou
author_sort Xiaodan Wei
title Global stability of an SIS epidemic model with feedback mechanism on networks
title_short Global stability of an SIS epidemic model with feedback mechanism on networks
title_full Global stability of an SIS epidemic model with feedback mechanism on networks
title_fullStr Global stability of an SIS epidemic model with feedback mechanism on networks
title_full_unstemmed Global stability of an SIS epidemic model with feedback mechanism on networks
title_sort global stability of an sis epidemic model with feedback mechanism on networks
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2018-02-01
description Abstract We study the global stability of endemic equilibrium of an SIS epidemic model with feedback mechanism on networks. The model was proposed by J. Zhang and J. Sun (Physica A 394:24–32, 2014), who obtained the local asymptotic stability of endemic equilibrium. Our main purpose is to show that if the feedback parameter is sufficiently large or if the basic reproductive number belongs to the interval (1,2] $(1, 2]$, then the endemic equilibrium is globally asymptotically stable. We also present numerical simulations to illustrate the theoretical results.
topic Epidemic model
Complex network
Feedback mechanism
Global stability
url http://link.springer.com/article/10.1186/s13662-018-1501-6
work_keys_str_mv AT xiaodanwei globalstabilityofansisepidemicmodelwithfeedbackmechanismonnetworks
AT gaochaoxu globalstabilityofansisepidemicmodelwithfeedbackmechanismonnetworks
AT wenshuzhou globalstabilityofansisepidemicmodelwithfeedbackmechanismonnetworks
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