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A delayed e-epidemic SLBS model for computer virus

delete2019-09-27
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OA
AI
Z
Zizhen Zhang *
S
Sangeeta Kumari
R
Ranjit Kumar Upadhyay
DOI:10.1186/s13662-019-2341-8delete
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Abstract

Abstract

En 中文
We propose an e-epidemic time-delay Susceptible-Latent-Breaking out-Susceptible (SLBS) model to study delay dynamics appearing due to antivirus software, which takes time to clean the viruses from latent and breaking-out computers. We perform nonlinear stability analysis, Hopf bifurcation analysis, and its direction and stability. Numerical simulation results (time series analysis and bifurcation diagram) give useful insights for delay dynamics. We investigate the effect of the control parameters like rate of infection of all the classes and cure rates on the model system. Our results suggest that time delay is responsible for destabilizing the system dynamics. For smooth functionality of a computer system, our results suggest the minimum use of removable storage devices like smart phones, optical discs, memory cards, external hard disk, digital cameras, and so on and use of effective antivirus softwares.
Keywords:
Time delay
SLBS model
Computer virus
Stability
Hopf bifurcation
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Journal

Advances in Difference Equations cover
Advances in Difference Equations
IF:
3.1
Papers:
4.8K
Citations:
7.4K

Organization

I
indian institute of technology system (iit system)
Scholars:
9.5W
Papers: 9.9W
Citations: 93