Dynamical Analysis of a Computer Virus Model with Delays
An SIQR computer virus model with two delays is investigated in the present paper. The linear stability conditions are obtained by using characteristic root method and the developed asymptotic analysis shows the onset of a Hopf bifurcation occurs when the delay parameter reaches a critical value. Mo...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/5649584 |
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| _version_ | 1832546624296976384 |
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| author | Juan Liu Carlo Bianca Luca Guerrini |
| author_facet | Juan Liu Carlo Bianca Luca Guerrini |
| author_sort | Juan Liu |
| collection | DOAJ |
| description | An SIQR computer virus model with two delays is investigated in the present paper. The linear stability conditions are obtained by using characteristic root method and the developed asymptotic analysis shows the onset of a Hopf bifurcation occurs when the delay parameter reaches a critical value. Moreover the direction of the Hopf bifurcation and stability of the bifurcating period solutions are investigated by using the normal form theory and the center manifold theorem. Finally, numerical investigations are carried out to show the feasibility of the theoretical results. |
| format | Article |
| id | doaj-art-aea3b49b58ae403196b928c43d1d388f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-aea3b49b58ae403196b928c43d1d388f2025-02-03T06:47:53ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/56495845649584Dynamical Analysis of a Computer Virus Model with DelaysJuan Liu0Carlo Bianca1Luca Guerrini2Department of Mathematics and Physics, Bengbu University, Bengbu 233030, ChinaLaboratoire de Physique Statistique, Ecole Normale Supérieure, PSL Research University, Université Paris Diderot Sorbonne Paris-Cité, Sorbonne Universités, UPMC Univ Paris 06, CNRS, 24 rue Lhomond, 75005 Paris, FranceDepartment of Management, Polytechnic University of Marche, 60121 Ancona, ItalyAn SIQR computer virus model with two delays is investigated in the present paper. The linear stability conditions are obtained by using characteristic root method and the developed asymptotic analysis shows the onset of a Hopf bifurcation occurs when the delay parameter reaches a critical value. Moreover the direction of the Hopf bifurcation and stability of the bifurcating period solutions are investigated by using the normal form theory and the center manifold theorem. Finally, numerical investigations are carried out to show the feasibility of the theoretical results.http://dx.doi.org/10.1155/2016/5649584 |
| spellingShingle | Juan Liu Carlo Bianca Luca Guerrini Dynamical Analysis of a Computer Virus Model with Delays Discrete Dynamics in Nature and Society |
| title | Dynamical Analysis of a Computer Virus Model with Delays |
| title_full | Dynamical Analysis of a Computer Virus Model with Delays |
| title_fullStr | Dynamical Analysis of a Computer Virus Model with Delays |
| title_full_unstemmed | Dynamical Analysis of a Computer Virus Model with Delays |
| title_short | Dynamical Analysis of a Computer Virus Model with Delays |
| title_sort | dynamical analysis of a computer virus model with delays |
| url | http://dx.doi.org/10.1155/2016/5649584 |
| work_keys_str_mv | AT juanliu dynamicalanalysisofacomputervirusmodelwithdelays AT carlobianca dynamicalanalysisofacomputervirusmodelwithdelays AT lucaguerrini dynamicalanalysisofacomputervirusmodelwithdelays |