Mathematical analysis of the effectiveness of control strategies to prevent the autorun virus transmission propagation

Kwang Su Kim, Malik Muhammad Ibrahim, Il Hyo Jung and Sangil Kim

Applied Mathematics and Computation, 2020, vol. 371, issue C

Abstract: In this work, a deterministic model for autorun computer virus propagation is presented and discussed. Two new control parameters; vaccination rate and perfect recovery rate are introduced to validate the existence of computer virus infection via external devices likewise USBs. The model is comprehensively analyzed with and without control parameter for verification of proposed model and strategy. The recovery population of the infected computers has been divided into perfectly recovered with probability ‘p’ and partially recovered with probability ‘1 − p’. The results show that as vaccination rate is increased reproductive number and number of infected computers decreased. Since reproductive number does not depend upon p, change in the value of p does not affect the basic reproductive number. However, as value of p is increased, a reduction in steady state of infected computer is observed. Local and global stability analysis of virus-free equilibrium has been investigated through basic reproductive number. The endemic equilibrium has also been determined under certain conditions.

Keywords: Computer modeling; Computer virus; Endemic equilibrium; Forward backward method; Pontryagin's principle (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:371:y:2020:i:c:s0096300319309476

DOI: 10.1016/j.amc.2019.124955

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