Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model

Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model

The discrete-time epidemic model is investigated, which is obtained using the Euler method. It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos. The numerical simulations, including bifurcation diagr...

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Main Authors: Junhong Li, Ning Cui
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/705601
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spelling doaj-a4d5b8c48328470d8468d3d72204b72c2020-11-24T21:01:27ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/705601705601Bifurcation and Chaotic Behavior of a Discrete-Time SIS ModelJunhong Li0Ning Cui1Department of Mathematics and Sciences, Hebei Institute of Architecture and Civil Engineering, Zhangjiakou, Hebei 075000, ChinaDepartment of Mathematics and Sciences, Hebei Institute of Architecture and Civil Engineering, Zhangjiakou, Hebei 075000, ChinaThe discrete-time epidemic model is investigated, which is obtained using the Euler method. It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos. The numerical simulations, including bifurcation diagrams and computation of Lyapunov exponents, not only show the consistence with the theoretical analysis but also exhibit the rich and complex dynamical behaviors.http://dx.doi.org/10.1155/2013/705601
collection DOAJ
language English
format Article
sources DOAJ
author Junhong Li
Ning Cui
spellingShingle Junhong Li
Ning Cui
Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model
Discrete Dynamics in Nature and Society
author_facet Junhong Li
Ning Cui
author_sort Junhong Li
title Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model
title_short Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model
title_full Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model
title_fullStr Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model
title_full_unstemmed Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model
title_sort bifurcation and chaotic behavior of a discrete-time sis model
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2013-01-01
description The discrete-time epidemic model is investigated, which is obtained using the Euler method. It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos. The numerical simulations, including bifurcation diagrams and computation of Lyapunov exponents, not only show the consistence with the theoretical analysis but also exhibit the rich and complex dynamical behaviors.
url http://dx.doi.org/10.1155/2013/705601
work_keys_str_mv AT junhongli bifurcationandchaoticbehaviorofadiscretetimesismodel
AT ningcui bifurcationandchaoticbehaviorofadiscretetimesismodel
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