Dynamics of a Delayed Model for the Transmission of Malicious Objects in Computer Network

An SEIQRS model for the transmission of malicious objects in computer network with two delays is investigated in this paper. We show that possible combination of the two delays can affect the stability of the model and make the model bifurcate periodic solutions under some certain conditions. For fu...

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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/PMC4134824/
https://www.ncbi.nlm.nih.gov/pubmed/25147837
http://dx.doi.org/10.1155/2014/194104
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author Zhang, Zizhen
Yang, Huizhong
author_facet Zhang, Zizhen
Yang, Huizhong
author_sort Zhang, Zizhen
collection PubMed
description An SEIQRS model for the transmission of malicious objects in computer network with two delays is investigated in this paper. We show that possible combination of the two delays can affect the stability of the model and make the model bifurcate periodic solutions under some certain conditions. For further investigation, properties of the periodic solutions are studied by using the normal form method and center manifold theory. Finally, some numerical simulations are given to justify the theoretical results.
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spelling pubmed-41348242014-08-21 Dynamics of a Delayed Model for the Transmission of Malicious Objects in Computer Network Zhang, Zizhen Yang, Huizhong ScientificWorldJournal Research Article An SEIQRS model for the transmission of malicious objects in computer network with two delays is investigated in this paper. We show that possible combination of the two delays can affect the stability of the model and make the model bifurcate periodic solutions under some certain conditions. For further investigation, properties of the periodic solutions are studied by using the normal form method and center manifold theory. Finally, some numerical simulations are given to justify the theoretical results. Hindawi Publishing Corporation 2014 2014-07-23 /pmc/articles/PMC4134824/ /pubmed/25147837 http://dx.doi.org/10.1155/2014/194104 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
Dynamics of a Delayed Model for the Transmission of Malicious Objects in Computer Network
title Dynamics of a Delayed Model for the Transmission of Malicious Objects in Computer Network
title_full Dynamics of a Delayed Model for the Transmission of Malicious Objects in Computer Network
title_fullStr Dynamics of a Delayed Model for the Transmission of Malicious Objects in Computer Network
title_full_unstemmed Dynamics of a Delayed Model for the Transmission of Malicious Objects in Computer Network
title_short Dynamics of a Delayed Model for the Transmission of Malicious Objects in Computer Network
title_sort dynamics of a delayed model for the transmission of malicious objects in computer network
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4134824/
https://www.ncbi.nlm.nih.gov/pubmed/25147837
http://dx.doi.org/10.1155/2014/194104
work_keys_str_mv AT zhangzizhen dynamicsofadelayedmodelforthetransmissionofmaliciousobjectsincomputernetwork
AT yanghuizhong dynamicsofadelayedmodelforthetransmissionofmaliciousobjectsincomputernetwork

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