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The Impact of Hybrid Quarantine Strategies and Delay factor on Viral Prevalence in Computer Networks.

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Title: The Impact of Hybrid Quarantine Strategies and Delay factor on Viral Prevalence in Computer Networks.
Authors: Chang Li1, Xiaofeng Liao1 xfliao@swu.edu.cn
Source: Mathematical Modelling of Natural Phenomena. 2016, Vol. 11 Issue 4, p105-119. 15p.
Subjects: Computer virus prevention, Computer networks, Stability theory, Hopf bifurcations, Center manifolds (Mathematics)
Abstract: 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. [ABSTRACT FROM AUTHOR]
Copyright of Mathematical Modelling of Natural Phenomena is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: The Impact of Hybrid Quarantine Strategies and Delay factor on Viral Prevalence in Computer Networks.
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  Data: <searchLink fieldCode="AR" term="%22Chang+Li%22">Chang Li</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Xiaofeng+Liao%22">Xiaofeng Liao</searchLink><relatesTo>1</relatesTo><i> xfliao@swu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Mathematical+Modelling+of+Natural+Phenomena%22">Mathematical Modelling of Natural Phenomena</searchLink>. 2016, Vol. 11 Issue 4, p105-119. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Computer+virus+prevention%22">Computer virus prevention</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+networks%22">Computer networks</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Hopf+bifurcations%22">Hopf bifurcations</searchLink><br /><searchLink fieldCode="DE" term="%22Center+manifolds+%28Mathematics%29%22">Center manifolds (Mathematics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mathematical Modelling of Natural Phenomena is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1051/mmnp/201611408
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 15
        StartPage: 105
    Subjects:
      – SubjectFull: Computer virus prevention
        Type: general
      – SubjectFull: Computer networks
        Type: general
      – SubjectFull: Stability theory
        Type: general
      – SubjectFull: Hopf bifurcations
        Type: general
      – SubjectFull: Center manifolds (Mathematics)
        Type: general
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      – TitleFull: The Impact of Hybrid Quarantine Strategies and Delay factor on Viral Prevalence in Computer Networks.
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            NameFull: Chang Li
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            NameFull: Xiaofeng Liao
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              Text: 2016
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              Y: 2016
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              Value: 11
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            – TitleFull: Mathematical Modelling of Natural Phenomena
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