Geodesic
The Impact of Hybrid Quarantine Strategies and Delay factor on Viral Prevalence in Computer Networks
Chang Li1 ; Xiaofeng Liao1
1 Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, China
Mathematical modelling of natural phenomena, Tome 11 (2016) no. 4, pp. 105-119.

Voir la notice de l'article provenant de la source EDP Sciences

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 : 10.1051/mmnp/201611408

Chang Li 1 ; Xiaofeng Liao 1

1 Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, China 
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Chang Li; Xiaofeng Liao. The Impact of Hybrid Quarantine Strategies and Delay factor on Viral Prevalence in Computer Networks. Mathematical modelling of natural phenomena, Tome 11 (2016) no. 4, pp. 105-119. doi : 10.1051/mmnp/201611408. https://geodesic-test.mathdoc.fr/articles/10.1051/mmnp/201611408/

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