dorsal/arxiv
View SchemaNew approach to Dynamical Monte Carlo Methods: application to an Epidemic Model
| Authors | O. E. Aiello, Marco A. A. da Silva |
|---|---|
| Categories | |
| ArXiv ID | physics/0205039 |
| URL | https://arxiv.org/abs/physics/0205039 |
| DOI | 10.1016/S0378-4371(03)00504-1 |
Abstract
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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"date_created": "2026-03-02T18:00:39.052000Z",
"date_modified": "2026-03-02T18:00:39.052000Z",
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"abstract": "A new approach to Dynamical Monte Carlo Methods is introduced to simulate\nmarkovian processes. We apply this approach to formulate and study an epidemic\nGeneralized SIRS model. The results are in excellent agreement with the forth\norder Runge-Kutta Method in a region of deterministic solution. We also\ndemonstrate that purely local interactions reproduce a poissonian-like process\nat mesoscopic level. The simulations for this case are checked\nself-consistently using a stochastic version of the Euler Method.",
"arxiv_id": "physics/0205039",
"authors": [
"O. E. Aiello",
"Marco A. A. da Silva"
],
"categories": [
"physics.comp-ph",
"physics.gen-ph"
],
"doi": "10.1016/S0378-4371(03)00504-1",
"title": "New approach to Dynamical Monte Carlo Methods: application to an Epidemic Model",
"url": "https://arxiv.org/abs/physics/0205039"
},
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