International Journal of Computer Networks and Applications

Munna Kumar ¹, Bimal Kumar Mishra ², T. C. Panda ³

Affiliations
1 Department of Mathematics, Utkal University, Bhubaneswar, Orissa - 751 004, IN
2 Department of Mathematics, Birla Institute of Technology, Mesra, Ranchi - 835 215, IN
3 Orissa Engineering College, Bhubaneswar Orissa - 752 050, IN

Abstract

A compartmental epidemic model of viruses in a computer network with vaccination and natural death is formulated. A strong impact of vaccination in the computer network reduces rapidly the spreading behavior of worms and Quarantine plays an important role in the recovery of the infectious nodes. The stability of the result is stated in terms of the Jacobian of the system and the basic reproduction number is also well - defined. The effect of vaccination in the system is also analyzed. Numerical methods and MATLAB are employed to solve and simulate the system of equations developed and analysis of the model gives remarkable exposure.

Keywords

Epidemic Model, Basic Reproduction Number, Vaccination, Stability, Computer Network.

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