Department of Mathematics, XIPT, Namkum, Ranchi, India and Department of Mathematics, Jharkhand Rai University, Ranchi, India
samir.phd2009@gmail.com
Abstract : In epidemiology, lots of mathematical models are developed by using the system of
differential equations and many of the systems have used the parameters 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 better 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 simulate and obtain the evolution of the mean and higher – order moments with respect to time.
Keyword : Random Coefficients; Polynomial Chaos; Epidemic Model; Computer Network