Stability and Hopf Bifurcation for a Delayed Computer Virus Model with Antidote in Vulnerable System
A delayed computer virus model with antidote in vulnerable system is investigated. Local stability of the endemic equilibrium and existence of Hopf bifurcation are discussed by analyzing the associated characteristic equation. Further, direction of the Hopf bifurcation and stability of the bifurcati...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/9360430 |
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| _version_ | 1832567986593988608 |
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| author | Zizhen Zhang Yougang Wang Massimiliano Ferrara |
| author_facet | Zizhen Zhang Yougang Wang Massimiliano Ferrara |
| author_sort | Zizhen Zhang |
| collection | DOAJ |
| description | A delayed computer virus model with antidote in vulnerable system is investigated. Local stability of the endemic equilibrium and existence of Hopf bifurcation are discussed by analyzing the associated characteristic equation. Further, direction of the Hopf bifurcation and stability of the bifurcating periodic solutions are investigated by using the normal form theory and the center manifold theorem. Finally, numerical simulations are presented to show consistency with the obtained results. |
| format | Article |
| id | doaj-art-238cee09f7b54140aabdd98b45e0cd4c |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-238cee09f7b54140aabdd98b45e0cd4c2025-02-03T00:59:58ZengWileyJournal of Control Science and Engineering1687-52491687-52572017-01-01201710.1155/2017/93604309360430Stability and Hopf Bifurcation for a Delayed Computer Virus Model with Antidote in Vulnerable SystemZizhen Zhang0Yougang Wang1Massimiliano Ferrara2School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, ChinaSchool of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, ChinaDepartment of Law and Economics, Mediterranea University of Reggio Calabria, Via dei Bianchi 2, 89127 Reggio Calabria, ItalyA delayed computer virus model with antidote in vulnerable system is investigated. Local stability of the endemic equilibrium and existence of Hopf bifurcation are discussed by analyzing the associated characteristic equation. Further, direction of the Hopf bifurcation and stability of the bifurcating periodic solutions are investigated by using the normal form theory and the center manifold theorem. Finally, numerical simulations are presented to show consistency with the obtained results.http://dx.doi.org/10.1155/2017/9360430 |
| spellingShingle | Zizhen Zhang Yougang Wang Massimiliano Ferrara Stability and Hopf Bifurcation for a Delayed Computer Virus Model with Antidote in Vulnerable System Journal of Control Science and Engineering |
| title | Stability and Hopf Bifurcation for a Delayed Computer Virus Model with Antidote in Vulnerable System |
| title_full | Stability and Hopf Bifurcation for a Delayed Computer Virus Model with Antidote in Vulnerable System |
| title_fullStr | Stability and Hopf Bifurcation for a Delayed Computer Virus Model with Antidote in Vulnerable System |
| title_full_unstemmed | Stability and Hopf Bifurcation for a Delayed Computer Virus Model with Antidote in Vulnerable System |
| title_short | Stability and Hopf Bifurcation for a Delayed Computer Virus Model with Antidote in Vulnerable System |
| title_sort | stability and hopf bifurcation for a delayed computer virus model with antidote in vulnerable system |
| url | http://dx.doi.org/10.1155/2017/9360430 |
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