A Deterministic Approach for the Propagation of Computer Virus in the Framework of Linear and Sinusoidal Time Variation of Birth Rate of Virus
In this research paper the variation (growth & fall) of infection in computers due to virus, in a network of computers, based on susceptible-infected-susceptible (SIS) model is investigated. This is carried out by considering linear and sinusoidal variation for birth rate of virus. The rate of growth and fall of infected nodes is found to vary smoothly and attain a saturation value asymptotically in case of linear variation. While in case of sinusoidal variation, the number of infected nodes follows a sinusoidal variation. For number of nodes greater than the threshold value, there is a damping nature for subsequent cycles. For number of nodes less than or equal to the threshold value, the number of infected nodes non- uniformly decreases. Ultimately the number of infected nodes approaches asymptotically a small value.
KeywordsSIS model deterministic approach linear and sinusoidal variation epidemic threshold
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