e-Epidemic Model for the Analysis of Impact of Worms in Computer Network

Abstract

Abstract-With regard to curb the impact and transmission of worms for general form of incidence rate in computer networks, SIQRS(susceptible infectious quarantine recovered susceptible) model has been developed. Basic reproduction number, endemic equilibrium state and their stability are discussed for the general form of incidence rate. With the help of Jacobian matrix and Liapunov function, it has been shown that the system is locally and globally asymptotically stable for the infection free equilibrium state. We have derived an explicit formula for the reproductive number. Numerical methods have been used to solve and simulate the system of differential equations which will help us to understand the attacking behavior of malicious object in computer network, and efficiency of antivirus software.