SAIDR: A New Dynamic Model for SMS-Based Worm Propagation in Mobile Networks

Xiao, Xi; Fu, Peng; Hu, Guangwu; Sangaiah, Arun Kumar; Zheng, Haitao; Jiang, Yong

doi:10.1109/access.2017.2700011

Cited by 6 publications

(7 citation statements)

References 26 publications

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“…However, the published researches all assume the diffusion of worm and virus is linear with the number of infected and susceptible computers which goes against the truth. In fact, at the initial period of a certain transmission, among the huge number of healthy computers connected with the Internet, only few of them have the opportunity to touch the virus [9,22,31]. And following the development, the infectious rate can not keep being linear with the infected and susceptible ones if the infected computers are numerically superior.…”

Section: Meng Zhang Kaiyuan Liu Lansun Chen and Zeyu LImentioning

confidence: 99%

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State feedback impulsive control of computer worm and virus with saturated incidence

Zhang

Liu²,

Chen³

et al. 2018

Mathematical Biosciences &Amp; Engineering

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A state feedback impulsive model is set up to discuss the spreading and control of the computer worm and virus. Considering the transmission features, saturated infectious is adopted to describe the spreading in the model, and all the treatment measures, such as patching operating system and updating antivirus software, are assumed to take effect instantly. Then the model is analyzed with a novel method, and the existence and stability of order-1 limit cycle are discussed. Finally, the numerical simulation is listed to verify the result of the paper.

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Section: Meng Zhang Kaiyuan Liu Lansun Chen and Zeyu LImentioning

confidence: 99%

“…Definition 2.1 (19)(20)(21)(22)(23)(24)(25). A typical state feedback impulsive differential model can be defined as  …”

mentioning

confidence: 99%

State feedback impulsive control of computer worm and virus with saturated incidence

Zhang

Liu²,

Chen³

et al. 2018

Mathematical Biosciences &Amp; Engineering

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“…The purpose of this work was to delve into a susceptible-affected-infectious-suspendedrecovered (SAIDR) model, a type of fractional order model which, for the first time, was put forward in [29] employing a classical derivative aimed at SMS-based worm propagation in mobile networks, on the basis of more favourable fractional calculus theories. As long as susceptible users of mobile devices refrain from opening the links that are harmful, it is not possible for them to instantly enter into the infected state even if the malicious message is delivered to the said devices.…”

Section: Introductionmentioning

confidence: 99%

“…As long as susceptible users of mobile devices refrain from opening the links that are harmful, it is not possible for them to instantly enter into the infected state even if the malicious message is delivered to the said devices. This is the reason behind the addition of the affected state into [29] by its authors; abbreviated as state A(t), it delineates the circumstance when a harmful link is delivered to a user but not yet opened. What is more, particularly if the phone is damaged, the harmful message is not invariably circulated by an infected node.…”

Section: Introductionmentioning

confidence: 99%

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A Fractional SAIDR Model in the Frame of Atangana–Baleanu Derivative

Uçar

Evirgen

et al. 2021

Fractal Fract

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It is possible to produce mobile phone worms, which are computer viruses with the ability to command the running of cell phones by taking advantage of their flaws, to be transmitted from one device to the other with increasing numbers. In our day, one of the services to gain currency for circulating these malignant worms is SMS. The distinctions of computers from mobile devices render the existing propagation models of computer worms unable to start operating instantaneously in the mobile network, and this is particularly valid for the SMS framework. The susceptible–affected–infectious–suspended–recovered model with a classical derivative (abbreviated as SAIDR) was coined by Xiao et al. (2017) in order to correctly estimate the spread of worms by means of SMS. This study is the first to implement an Atangana–Baleanu (AB) derivative in association with the fractional SAIDR model, depending upon the SAIDR model. The existence and uniqueness of the drinking model solutions together with the stability analysis are shown through the Banach fixed point theorem. The special solution of the model is investigated using the Laplace transformation and then we present a set of numeric graphics by varying the fractional-order θ with the intention of showing the effectiveness of the fractional derivative.

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Smart environment effectiveness analysis of a pursuit and evasion scenario

Wang

Lin

2018

J Ambient Intell Human Comput

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SAIDR: A New Dynamic Model for SMS-Based Worm Propagation in Mobile Networks

Cited by 6 publications

References 26 publications

State feedback impulsive control of computer worm and virus with saturated incidence

State feedback impulsive control of computer worm and virus with saturated incidence

A Fractional SAIDR Model in the Frame of Atangana–Baleanu Derivative

Smart environment effectiveness analysis of a pursuit and evasion scenario

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