Description

In this paper, SIJR e-epidemic model of fractional order for the transmission of viruses in computer network with natural death has been presented. The fractional derivatives are described in the Caputo sense. In this model the nodes have two levels of infection. Predictor-Corrector method is employed to obtain numerical solution of presented model.

URL

http://fcag-egypt.com/Journals/JFCA/

DOI

Brief

In this paper, we have introduced fractional order into a compartmental epidemic model with natural death for malicious objects in computer network.The results show that the solution continuously depends on the time-fractional derivative. When α → 1 the solution of the fractional model (1) reduces to the standard solution of the integer order model(fig. (1-10)). It is clear that when the value of natural death rate in creases, the attack of malicious codes increases(fig. (2-5)). Due to run of anti-virus software, infection vanishes (fig.3).

KeyWords

viral infection- viral immunization- Malicious codes-computer virus models-fractional calculus