• TIME DELAY SEIRS E-EPIDEMIC MODEL FOR COMPUTER NETWORK

Abstract

In this paper, an attempt has been made to formulate a delayed SEIRS (Susceptible – Exposed – Infectious – Recovered – Susceptible) e – epidemic model with anti-malicious software and death due to malicious objects in computer network. It is proved that the malicious objects-free periodic solution is globally attractive if the rate of use of anti-malicious software is large enough and the solution is uniformly persistent if the rate is less than some critical value by using the comparison theorem. Our results indicate that a long latent period of the malicious objects or a proper use of anti-malicious software rate will lead to extinction of the malicious objects. Numerical methods are used to solve and simulate the system of equations developed and analyze the attacking behavior of malicious objects in the computer network.