Numerical recipes: the art of scientific computing
Numerical recipes: the art of scientific computing
A framework for assessing uncertainties in simulation predictions
Physica D - Special issue originating from the 18th Annual International Conference of the Center for Nonlinear Studies, Los Alamos, NM, May 11&mdash ;15, 1998
Mean square numerical solution of random differential equations: Facts and possibilities
Computers & Mathematics with Applications
Computing mean square approximations of random diffusion models with source term
Mathematics and Computers in Simulation
Air quality modeling: From deterministic to stochastic approaches
Computers & Mathematics with Applications
Random linear-quadratic mathematical models: Computing explicit solutions and applications
Mathematics and Computers in Simulation
Modeling the spread of seasonal epidemiological diseases: Theory and applications
Mathematical and Computer Modelling: An International Journal
Numerical solution of random differential equations: A mean square approach
Mathematical and Computer Modelling: An International Journal
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In this paper we study the dynamics of the transmission of respiratory syncytial virus (RSV) in human populations using random differential equation systems. Since initial conditions and some parameters of a RSV mathematical model are subject to some degree of uncertainty, randomness on the model are introduced. In order to modeling these uncertainties some probability distributions functions are assumed for initial conditions and parameters. Monte Carlo method is applied to investigate the effect of parameters and initial conditions uncertainties on the dynamics behavior of the infected and recovered populations. In addition numerical predictions for the future dynamics of RSV transmission in the population from the Spanish region of Valencia are obtained using confidence intervals and expected mean values for the infected and recovered populations are also obtained.