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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/194104 |
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| _version_ | 1832551836754640896 |
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| author | Zizhen Zhang Huizhong Yang |
| author_facet | Zizhen Zhang Huizhong Yang |
| author_sort | Zizhen Zhang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-d4efc9867c7640a4ae01381b564a36e5 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-d4efc9867c7640a4ae01381b564a36e52025-02-03T06:00:25ZengWileyThe 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 |
| spellingShingle | Zizhen Zhang Huizhong Yang Dynamics of a Delayed Model for the Transmission of Malicious Objects in Computer Network The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/194104 |
| work_keys_str_mv | AT zizhenzhang dynamicsofadelayedmodelforthetransmissionofmaliciousobjectsincomputernetwork AT huizhongyang dynamicsofadelayedmodelforthetransmissionofmaliciousobjectsincomputernetwork |