2016
DOI: 10.1371/journal.pone.0164415
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Propagation Effect of a Virus Outbreak on a Network with Limited Anti-Virus Ability

Abstract: This paper describes a new computer virus spreading model which takes into account the possibility of a virus outbreak on a network with limited anti-virus ability. Then, the model is investigated for the existence of equilibria and their stabilities are proved and illustrated. Moreover, it is found that these two factors are not only relative to the threshold value determining whether the virus becomes extinct or not, but that they are also relative to the virus epidemic levels. Theoretical and experimental r… Show more

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Cited by 15 publications
(14 citation statements)
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“…A er years of development, there has formed a new applied mathematics named malware propagation theory, which is devoted to the modeling and study of malware propagation. e earlier malware propagation models build on homogeneously mixed networks [7][8][9][10][11][12][13][14][15] or some special inhomogeneous networks such as scale-free networks [16][17][18]. In view of the structural diversity of real-world networks, it is essential to model and study malware propagation on arbitrary networks.…”
Section: Introductionmentioning
confidence: 99%
“…A er years of development, there has formed a new applied mathematics named malware propagation theory, which is devoted to the modeling and study of malware propagation. e earlier malware propagation models build on homogeneously mixed networks [7][8][9][10][11][12][13][14][15] or some special inhomogeneous networks such as scale-free networks [16][17][18]. In view of the structural diversity of real-world networks, it is essential to model and study malware propagation on arbitrary networks.…”
Section: Introductionmentioning
confidence: 99%
“…In the last few years, the importance of epidemic modeling and control has increased in respect of their capability to describe infectious disease and proposing suitable control strategies [1][2][3][4][5][6][7][8]; moreover, the power of epidemic modeling has been used also in different fields, such as to study the propagation effects of a virus outbreak on a network [9,10].…”
Section: Introductionmentioning
confidence: 99%
“…In the recent paper (Fatima et al, 2018) a susceptible-latent-breakingoutquarantine-susceptible computer virus dynamics is proposed and implemented, showing the positive effects of the quarantine. The scenario considered in this paper is similar to the one in (Xu and Ren, 2016); the population of computers connected in a network is partitioned into four classes. Besides the classes of susceptible S and recovered R computers, that are the devices not infected that can become infected and those that can not get the infection respectively, there are two classes of infected computers.…”
Section: Introductionmentioning
confidence: 99%
“…In this paper a variation of the model proposed in (Xu and Ren, 2016) is introduced and analysed, by considering the reproduction number and the possible existence of virus equilibrium. Optimal control strategies are proposed to face a possible epidemic spread.…”
Section: Introductionmentioning
confidence: 99%