Networking and Communication Engineering

Samir Kumar Pandey ¹, Bimal Kumar Mishra ², Prasanna Kumar Satpathy ³

Affiliations
1 Department of Applied Mathematics, The ICFAI University, Jharkhand, Ranchi–834 001, IN
2 Department of Applied Mathematics, Birla Institute of Technology, Mesra, Ranchi–835 215, IN
3 Department of Mathematics, ITER, Siksha ‘O’ Anusandhan University, Bhubaneswar, Orissa, -751 030, IN

Abstract

An e-epidemic dynamical model for the transmission of worms in the computer network has been developed. In this model, we have applied antivirus software and distributed time delay with vertical transmission. We have used the discrete dynamical system to obtain the exact worm – free periodic solution of the impulsive epidemic system and observed that the solution is globally attractive, if the rate of use of antivirus software is larger enough and the solution is uniformly persistent if the rate is less than some critical value. We have also analyzed the permanence of the model analytically and study the contribution of vertical transmission in the system and then investigate that the large use of antivirus software is enough for worm eradication. Numerical methods and MATLAB are used to solve and simulate the system of equations developed and analyze the behavior of different classes of computer nodes in the network.

Keywords

Antivirus Software, Computer Network, Distributed Time Delay, Epidemic Model, Vertical Transmission, Worms.

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