Title :
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
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;
Conference_Titel :
Informatics, Electronics & Vision (ICIEV), 2012 International Conference on
Conference_Location :
Dhaka
Print_ISBN :
978-1-4673-1153-3
DOI :
10.1109/ICIEV.2012.6317326
