Stability and Bifurcation of a Computer Virus Propagation Model with Delay and Incomplete Antivirus Ability
2014 ◽
Vol 2014
◽
pp. 1-9
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Keyword(s):
A new computer virus propagation model with delay and incomplete antivirus ability is formulated and its global dynamics is analyzed. The existence and stability of the equilibria are investigated by resorting to the threshold valueR0. By analysis, it is found that the model may undergo a Hopf bifurcation induced by the delay. Correspondingly, the critical value of the Hopf bifurcation is obtained. Using Lyapunov functional approach, it is proved that, under suitable conditions, the unique virus-free equilibrium is globally asymptotically stable ifR0<1, whereas the virus equilibrium is globally asymptotically stable ifR0>1. Numerical examples are presented to illustrate possible behavioral scenarios of the mode.
2013 ◽
Vol 2013
◽
pp. 1-9
◽
2016 ◽
Vol 30
(28n29)
◽
pp. 1640009
◽
2012 ◽
Vol 2012
◽
pp. 1-12
◽
2020 ◽
Vol 36
(4)
◽
pp. 295-304
◽
2017 ◽
Vol 2017
◽
pp. 1-11
◽
2018 ◽
Vol 6
(1)
◽
pp. 90-101
◽
Keyword(s):
Dynamical Analysis of a Computer Virus Propagation Model with Delay and Infectivity in Latent Period
2016 ◽
Vol 2016
◽
pp. 1-9
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