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 results indicate that, in some ways, it would be practically possible to eradicate the virus or suppress its prevalence below a suitable level. Consequently, some suggestions are proposed that may help eradicate or suppress virus propagation over a real computer network.
Highlights
Computer viruses are programs that attempt to parasitize themselves on a host and spread to other computers, mainly through the Internet
A lot of computer virus propagation models such as SIR model [1–3], SLB model [4–5], SEIQV model [6] as well as their extensions [7–17], have been proposed. These models have mainly been built upon classical epidemic models [18–28] and investigated the behavior of computer virus spread over computer networks by the analogy between computer and biological viruses [29]
It is found that (1) the outbreak probability and transmission rate due to the limited anti-virus ability are strongly relative to the threshold value R0, and (2) the outbreak probability and transmission rate are heavily connected with the virus epidemic levels
Summary
Computer viruses are programs that attempt to parasitize themselves on a host and spread to other computers, mainly through the Internet. A lot of computer virus propagation models such as SIR model [1–3], SLB model [4–5], SEIQV model [6] as well as their extensions [7–17], have been proposed These models have mainly been built upon classical epidemic models [18–28] and investigated the behavior of computer virus spread over computer networks by the analogy between computer and biological viruses [29]. It is found that (1) the outbreak probability and transmission rate due to the limited anti-virus ability are strongly relative to the threshold value R0, and (2) the outbreak probability and transmission rate are heavily connected with the virus epidemic levels These results imply that, to some degree, it would be practically possible to eradicate the virus or inhibit its prevalence below a suitable level.
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