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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| 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/10.1155/2014/373171 |
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| author | Zizhen Zhang Huizhong Yang |
| author_facet | Zizhen Zhang Huizhong Yang |
| author_sort | Zizhen Zhang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-ec1f190bf4f1466abd50145541a2c2ca |
| 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-ec1f190bf4f1466abd50145541a2c2ca2025-02-03T00:59:22ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/373171373171Stability and Hopf Bifurcation for a Delayed SLBRS Computer Virus ModelZizhen 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, ChinaBy 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.http://dx.doi.org/10.1155/2014/373171 |
| spellingShingle | Zizhen Zhang Huizhong Yang Stability and Hopf Bifurcation for a Delayed SLBRS Computer Virus Model The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/373171 |
| work_keys_str_mv | AT zizhenzhang stabilityandhopfbifurcationforadelayedslbrscomputervirusmodel AT huizhongyang stabilityandhopfbifurcationforadelayedslbrscomputervirusmodel |