The Impact of Hybrid Quarantine Strategies and Delay factor on Viral Prevalence in Computer Networks
Recently, the quarantine approach, which has been applied to infectious disease control, is widely regarded as an effective measure to suppress viral spread in computer networks. Hence, in order to prevent the spread of computer virus in network, and consider the latent period of a latent computer,...
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| Veröffentlicht in: | Mathematical modelling of natural phenomena 2016-01, Vol.11 (4), p.105-119 |
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| creator | Li, Chang Liao, Xiaofeng |
| description | Recently, the quarantine approach, which has been applied to infectious disease control, is widely regarded as an effective measure to suppress viral spread in computer networks. Hence, in order to prevent the spread of computer virus in network, and consider the latent period of a latent computer, a new delayed epidemic model of computer virus with hybrid quarantine strategies is presented. By regarding the delay as bifurcating parameter and analyzing the associated characteristic equation, the dynamical behaviors, including local asymptotical stability in which the virus spreading can be controlled, and furthermore, local Hopf bifurcation occurs in the system, which implies computer virus is out of control, are investigated. By applying the normal form and center manifold theorem, the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are also determined. Some numerical simulations are provided to support our theoretical results which also imply that hybrid quarantine strategies can inhibit viral spread effectively, and make the model be asymptotically stable. |
| doi_str_mv | 10.1051/mmnp/201611408 |
| format | Article |
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Hence, in order to prevent the spread of computer virus in network, and consider the latent period of a latent computer, a new delayed epidemic model of computer virus with hybrid quarantine strategies is presented. By regarding the delay as bifurcating parameter and analyzing the associated characteristic equation, the dynamical behaviors, including local asymptotical stability in which the virus spreading can be controlled, and furthermore, local Hopf bifurcation occurs in the system, which implies computer virus is out of control, are investigated. By applying the normal form and center manifold theorem, the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are also determined. Some numerical simulations are provided to support our theoretical results which also imply that hybrid quarantine strategies can inhibit viral spread effectively, and make the model be asymptotically stable.</description><identifier>ISSN: 1760-6101</identifier><identifier>ISSN: 0973-5348</identifier><identifier>EISSN: 1760-6101</identifier><identifier>DOI: 10.1051/mmnp/201611408</identifier><language>eng</language><publisher>Les Ulis: EDP Sciences</publisher><subject>34B20 ; 35G31 ; 35Q53 ; Asymptotic properties ; Bifurcation theory ; Computer networks ; Computer simulation ; computer virus ; Computer viruses ; Control stability ; Delay ; Disease control ; Dynamic stability ; Eigenvalues ; Eigenvectors ; Epidemics ; Hopf bifurcation ; hybrid quarantine strategies ; Infectious diseases ; intrusion detection systems ; Latent period ; Mathematical models ; Quarantine</subject><ispartof>Mathematical modelling of natural phenomena, 2016-01, Vol.11 (4), p.105-119</ispartof><rights>2016. 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Hence, in order to prevent the spread of computer virus in network, and consider the latent period of a latent computer, a new delayed epidemic model of computer virus with hybrid quarantine strategies is presented. By regarding the delay as bifurcating parameter and analyzing the associated characteristic equation, the dynamical behaviors, including local asymptotical stability in which the virus spreading can be controlled, and furthermore, local Hopf bifurcation occurs in the system, which implies computer virus is out of control, are investigated. By applying the normal form and center manifold theorem, the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are also determined. 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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | 34B20 35G31 35Q53 Asymptotic properties Bifurcation theory Computer networks Computer simulation computer virus Computer viruses Control stability Delay Disease control Dynamic stability Eigenvalues Eigenvectors Epidemics Hopf bifurcation hybrid quarantine strategies Infectious diseases intrusion detection systems Latent period Mathematical models Quarantine |
| title | The Impact of Hybrid Quarantine Strategies and Delay factor on Viral Prevalence in Computer Networks |
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