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

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...

Full description

Bibliographic Details
Main Authors: Zizhen Zhang, Huizhong Yang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/194104
id doaj-d4efc9867c7640a4ae01381b564a36e5
record_format Article
spelling doaj-d4efc9867c7640a4ae01381b564a36e52020-11-24T21:26:38ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/194104194104Dynamics of a Delayed Model for the Transmission of Malicious Objects in Computer NetworkZizhen Zhang0Huizhong Yang1School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, ChinaKey Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, ChinaAn 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.http://dx.doi.org/10.1155/2014/194104
collection DOAJ
language English
format Article
sources DOAJ
author Zizhen Zhang
Huizhong Yang
spellingShingle Zizhen Zhang
Huizhong Yang
Dynamics of a Delayed Model for the Transmission of Malicious Objects in Computer Network
The Scientific World Journal
author_facet Zizhen Zhang
Huizhong Yang
author_sort Zizhen Zhang
title 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_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_sort dynamics of a delayed model for the transmission of malicious objects in computer network
publisher Hindawi Limited
series The Scientific World Journal
issn 2356-6140
1537-744X
publishDate 2014-01-01
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.
url http://dx.doi.org/10.1155/2014/194104
work_keys_str_mv AT zizhenzhang dynamicsofadelayedmodelforthetransmissionofmaliciousobjectsincomputernetwork
AT huizhongyang dynamicsofadelayedmodelforthetransmissionofmaliciousobjectsincomputernetwork
_version_ 1725978379185815552

Similar Items