2017
DOI: 10.1007/s12064-017-0253-2
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On the global stability of an epidemic model of computer viruses

Abstract: In this paper, we study the global properties of a computer virus propagation model. It is, interesting to note that the classical method of Lyapunov functions combined with the Volterra-Lyapunov matrix properties, can lead to the proof of the endemic global stability of the dynamical model characterizing the spread of computer viruses over the Internet. The analysis and results presented in this paper make building blocks towards a comprehensive study and deeper understanding of the fundamental mechanism in c… Show more

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Cited by 21 publications
(14 citation statements)
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“…This framework named OpenQoS causes video traffic flows optimally in the network and is received by destination with more quality. The controller created two paths between source and destination: one for common traffic (based on OSPF algorithm) and another for multimedia traffic (based on CSP model [23] and Optimization [24][25][26][27][28]). Simulation results showed that for both actual scenario and simulation one using this model decreased PSNR parameter of receiving video in the destination.…”
Section: Related Workmentioning
confidence: 99%
“…This framework named OpenQoS causes video traffic flows optimally in the network and is received by destination with more quality. The controller created two paths between source and destination: one for common traffic (based on OSPF algorithm) and another for multimedia traffic (based on CSP model [23] and Optimization [24][25][26][27][28]). Simulation results showed that for both actual scenario and simulation one using this model decreased PSNR parameter of receiving video in the destination.…”
Section: Related Workmentioning
confidence: 99%
“…end if 11: Simulation result analysis was performed according to [31,32]. Initial data deletion was performed and the replication process through techniques presented in Tables 3 to 5 present the simulation result report and confidence intervals.…”
Section: Algorithm 2: Lb-rpl: Load Balanced Rpl Routing Protocolmentioning
confidence: 99%
“…This method does not meet the challenges of the Lyapunov function method including determining the appropriate Lyapunov function and coefficients. The method of Volterra-Lyapunov stable matrices [21], is modified using two Lemmas and reducing the dimensions of the matrices to overcome the problems exhibited by the standard technique (presented in [21]), while in some parts of the original method this technique is not used [22][23][24]. This approach transfers the analysis from differentiable functions to related matrices.…”
Section: Introductionmentioning
confidence: 99%