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

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 al...

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Bibliographic Details
Published in:arXiv.org 2002-05
Main Authors: Aiello, O E, Marco A A da Silva
Format: Article
Language:English
Subjects:
Computer simulation
Epidemics
Markov processes
Monte Carlo simulation
Runge-Kutta method
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0205039