New approach to Dynamical Monte Carlo Methods: application to an Epidemic Model

Details New approach to Dynamical Monte Carlo Methods: application to an Epidemic Model New approach to Dynamical Monte Carlo Methods: application to an Epidemic Model

2002-05-13

arxiv.org/abs/physics/0205039v1

Physics

Computational Physics

Written with Scientific WorkPlace 3.51 in REVTex4 format, 11 pages with 2 figures in postscript format

Scientific paper

10.1016/S0378-4371(03)00504-1

A new approach to Dynamical Monte Carlo Methods is introduced to simulate markovian processes. We apply this approach to formulate and study an epidemic Generalized SIRS model. The results are in excellent agreement with the forth order Runge-Kutta Method in a region of deterministic solution. We also demonstrate that purely local interactions reproduce a poissonian-like process at mesoscopic level. The simulations for this case are checked self-consistently using a stochastic version of the Euler Method.

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