Stability and Hopf Bifurcation for a Delayed SLBRS Computer Virus Model

By incorporating the time delay due to the period that computers use antivirus software to clean the virus into the SLBRS model a delayed SLBRS computer virus model is proposed in this paper. The dynamical behaviors which include local stability and Hopf bifurcation are investigated by regarding the...

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Detalles Bibliográficos
Autores principales: Zhang, Zizhen, Yang, Huizhong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4151369/
https://www.ncbi.nlm.nih.gov/pubmed/25202722
http://dx.doi.org/10.1155/2014/373171
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author Zhang, Zizhen
Yang, Huizhong
author_facet Zhang, Zizhen
Yang, Huizhong
author_sort Zhang, Zizhen
collection PubMed
description By incorporating the time delay due to the period that computers use antivirus software to clean the virus into the SLBRS model a delayed SLBRS computer virus model is proposed in this paper. The dynamical behaviors which include local stability and Hopf bifurcation are investigated by regarding the delay as bifurcating parameter. Specially, direction and stability of the Hopf bifurcation are derived by applying the normal form method and center manifold theory. Finally, an illustrative example is also presented to testify our analytical results.
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spelling pubmed-41513692014-09-08 Stability and Hopf Bifurcation for a Delayed SLBRS Computer Virus Model Zhang, Zizhen Yang, Huizhong ScientificWorldJournal Research Article By incorporating the time delay due to the period that computers use antivirus software to clean the virus into the SLBRS model a delayed SLBRS computer virus model is proposed in this paper. The dynamical behaviors which include local stability and Hopf bifurcation are investigated by regarding the delay as bifurcating parameter. Specially, direction and stability of the Hopf bifurcation are derived by applying the normal form method and center manifold theory. Finally, an illustrative example is also presented to testify our analytical results. Hindawi Publishing Corporation 2014 2014-08-17 /pmc/articles/PMC4151369/ /pubmed/25202722 http://dx.doi.org/10.1155/2014/373171 Text en Copyright © 2014 Z. Zhang and H. Yang. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Zhang, Zizhen
Yang, Huizhong
Stability and Hopf Bifurcation for a Delayed SLBRS Computer Virus Model
title Stability and Hopf Bifurcation for a Delayed SLBRS Computer Virus Model
title_full Stability and Hopf Bifurcation for a Delayed SLBRS Computer Virus Model
title_fullStr Stability and Hopf Bifurcation for a Delayed SLBRS Computer Virus Model
title_full_unstemmed Stability and Hopf Bifurcation for a Delayed SLBRS Computer Virus Model
title_short Stability and Hopf Bifurcation for a Delayed SLBRS Computer Virus Model
title_sort stability and hopf bifurcation for a delayed slbrs computer virus model
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4151369/
https://www.ncbi.nlm.nih.gov/pubmed/25202722
http://dx.doi.org/10.1155/2014/373171
work_keys_str_mv AT zhangzizhen stabilityandhopfbifurcationforadelayedslbrscomputervirusmodel
AT yanghuizhong stabilityandhopfbifurcationforadelayedslbrscomputervirusmodel

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