Differential Epidemic Model of Virus and Worms in Computer Network

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A differential electronic Susceptible-Infectious-Removed-Susceptible (e-SIRS) epidemic model of virus and worms in a computer network has been formulated. Latent period, immune period and time for self replication have been considered. Stability of the result is stated in terms of the threshold parameter. The authors have derived an explicit formula for the reproductive number and have shown that the virus-worm-infection-free equilibrium, whose component of infective is zero, is globally asymptotically stable if threshold number is less than one, and unstable if it is greater than one. Numerical method is employed to solve the system of equations developed and interpretation of the model yields interesting revelations.