Probabilistic e-epidemic model on computer worms

Author

Mishra, Bimal Kumar ; Goswami, R.T.

Author_Institution

Dept. of Appl. Math., Birla Inst. of Technol., Ranchi, India

fYear

2012

fDate

18-19 May 2012

Firstpage

1091

Lastpage

1096

Abstract

In epidemiology, several mathematical models are developed by using the system of differential equations and many of them have used the parameters traditionally as deterministic variables. In this paper, the variables, which are used in the system, are considered as random variables with specified distributions because the equations with random coefficients are well suited in describing the real behavior of the parameters as compared to deterministic coefficients. A stochastic spectral representation of the parameters is used. Numerical methods and polynomial chaos method are used to solve and simulate the system of equations and analysis of the spread of worms in computer network with respect to time is done.

Keywords

computer network security; differential equations; invasive software; polynomials; random processes; stochastic processes; computer network; computer worms; deterministic variables; differential equations; epidemiology; mathematical model; numerical method; polynomial chaos method; probabilistic e-epidemic model; random coefficients; random variables; real parameter behavior; stochastic spectral representation; system of equations; Chaos; Computational modeling; Grippers; Mathematical model; Polynomials; Random variables; Computer Network; E-epidemic Model; Polynomial Chaos; Random Coefficients; Worms;

fLanguage

English

Publisher

ieee

Conference_Titel

Informatics, Electronics & Vision (ICIEV), 2012 International Conference on

Conference_Location

Dhaka

Print_ISBN

978-1-4673-1153-3

Type

conf

DOI

10.1109/ICIEV.2012.6317326

Filename

6317326