Modeling the Spread of Computer Viruses under the Effects of Infected External Computers and Removable Storage Media

Zhang, Xulong

doi:10.14257/ijsia.2016.10.3.36

Cited by 8 publications

(7 citation statements)

References 23 publications

(20 reference statements)

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“…Contrary to homogenous mixing, prevalent in most models, Yang et al [16] used the SLB model to represent a scenario where distinct nodes have varied infectious, exploding, and remedial rates. e SLBR model was used by Zhang [17] to model both storage media and internal/ external computers. Zhang and Bi [18] investigated the existence and properties of Hopf bifurcation using the SLB model.…”

Section: Related Literaturementioning

confidence: 99%

An Epidemic Patch-Enabled Delayed Model for Virus Propagation: Towards Evaluating Bifurcation and White Noise

Liu

Madhusudanan²,

Srinivas

et al. 2022

Mathematical Problems in Engineering

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The massive disruptions caused by malware, such as a virus in computer networks and other aspects of information and communication technology, have generated attention, making it a hot research topic. While antivirus and firewalls can be effective, there is also a need to understand the spread patterns of viral infection using epidemic models to curb its incidences. Many previous research attempts have produced analytical models for computer viruses under various infectiousness situations. As a result, we suggested the SLBS model, which considers infection latency and transient immunity in patched nodes. Under certain conditions, the local stability of all equilibrium points is investigated. By setting the delay parameter, we established the occurrence of a Hopf bifurcation (HB) as it crossed a crucial point by several analyses. We also used the centre manifold theorem and normal form theory to examine the attributes of the HB. While the former was used to study the time delay and direction of Hopf bifurcation, the latter was used to investigate external noise and its intensities. Finally, numerical simulations two dimensional and three-dimensional graphs were used to depict the perturbations of the model, thus bolstering the essentiality of the study.

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Section: Related Literaturementioning

confidence: 99%

An Epidemic Patch-Enabled Delayed Model for Virus Propagation: Towards Evaluating Bifurcation and White Noise

Liu

Madhusudanan²,

Srinivas

et al. 2022

Mathematical Problems in Engineering

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“…The classical computer virus model given in [41], having four compartments S(t),L(t),B(t) and R(t) which represent the susceptible, latent computers, breaking-out computers and recovered computer after infection with internal and external sources with time t respectively. Besides the subsequent basis assumptions are created as: the exploit rate of each compartment is positive constant µ; the coming into rates of the four compartments are b 1 ,b 2 ,b 3 ,b 4 are positive constants respectively; each computer in the S-compartment is diseased with L (or B) computers with a chance of β 1 L (or β 2 B), where β 1 , β 2 are favorable times; each computer in S-room is diseased with changeable storage media that may have θ; each computer in the L-compartment breaks down with α; each computer in the Rcompartment loses potential protection η; because of fixing and modernizing the antivirus software well-timed, each computer on the Internet is likely to receive γ 1 .…”

Section: Fractional Order Computer Virus Modelmentioning

confidence: 99%

“…The approaches of epidemic model shows different problems of non-singular kernel, which includes trigonometric and exponential functions [15,16,34]. The COVID-19 disease conceptual model which effectively catches the proposed outbreak of this virus [4,37,41]. The nonlinear fractional differential equation containing Atanagana-Baleanu fractional derivative is solved by Toufik and Atangana [36].…”

Section: Introductionmentioning

confidence: 99%

Computer Virus Fractional Order Model with Effects of Internal and External Storage Media

Farman¹,

Akgül²,

Shanak³

et al. 2022

Eur. J. Pure Appl. Math.

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In this work, we focus on the implementation of epidemic techniques on computer virus and study the dynamic transmission of several viruses to minimize the destruction of computers. We aim to make and analyze computer viruses through the Atangana-Baleanu sense and the Atangana-Taufik scheme, which is used for the fractional derivative model for the computer virusepidemic. It contained infected external computer effects and removable storage media on the computer viruses. For the validation of the model, we also discussed its positivity and boundedness. Fixed point theory and the iterative methods helped a lot to find out the existence and uniqueness of the model. In the case of numerical simulation, we used Atanagana-Taufik technique to illustratethe effects of varying the fractional order. The graphical results support our theoretical results from which, we analyze the infected external computer effects and removable storage media on the computer viruses.

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“…Certainly, various generalizations of the SLBS model are recommended. Reference [8] examined the results of infected removable storage devices and external computers on the spread of computer viruses. Because of this, a new compelling model of four sections was proposed.…”

Section: Related Literaturementioning

confidence: 99%

Modelling the Spread of Computer Virus under Users Computer Security Behaviour: An Agent-Based Model

Maliberan¹

2018

IJRASET

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This study aimed to investigate the effect of Users computer security behaviour on the spread of computer viruses. This paper used the AIDS model found in Net logo which characterized the propagation of virus in order to predict future threats and its rate of infection over a period of time. Findings revealed that computer virus infection was largely dictated by the behaviour characteristics of the computer users. Such behaviour characteristics may deter to facilitate the spread of the virus. In turn, informed users were more likely to exercise caution and observe practices that stop the spread of the virus.

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Modeling the Spread of Computer Viruses under the Effects of Infected External Computers and Removable Storage Media

Abstract: Abstract

Cited by 8 publications

References 23 publications

An Epidemic Patch-Enabled Delayed Model for Virus Propagation: Towards Evaluating Bifurcation and White Noise

An Epidemic Patch-Enabled Delayed Model for Virus Propagation: Towards Evaluating Bifurcation and White Noise

Computer Virus Fractional Order Model with Effects of Internal and External Storage Media

Modelling the Spread of Computer Virus under Users Computer Security Behaviour: An Agent-Based Model

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