Deterministic site exchange cellular automata model for the spread of diseases in human settlements
Cellular Automata and Lattice Gases
2007-05-23 v1 Disordered Systems and Neural Networks
Chaotic Dynamics
q-bio
Abstract
A cellular automata model that describes as limit cases of his parameters the spread of contagious diseases modeled by systems of ordinary or partial differential equations is developed. Periodic features of the behavior of human settlement are considered. The model is built taking into account the range of motion of the elements of population. For small (large) values of this range, the behaviors described by partial (ordinary) differential equation models are reproduced. Emphasis is done in the study of those scenarios in which the above mentioned equations fail to describe. Some interesting results in these cases are reported.
Keywords
Cite
@article{arxiv.nlin/0004012,
title = {Deterministic site exchange cellular automata model for the spread of diseases in human settlements},
author = {Ricardo Mansilla and Jose L. Gutierrez},
journal= {arXiv preprint arXiv:nlin/0004012},
year = {2007}
}
Comments
14 pages, 9 figures, submitted to Bulletin of Mathematical Biology