2000/04/07 by Ricardo Mansilla, Mansilla, Ricardo, Jose L. Gutierrez +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Medicine · Physics and Astronomy · #Cellular Automata and Applications #Cellular Automata and Lattice Gases (nlin.CG) #Chaotic Dynamics (nlin.CD) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Biological sciences #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Quantitative Biology (q-bio) #cond-mat.dis-nn #nlin.CD #nlin.CG #q-bio
paper · pdf · doi:10.48550/arxiv.nlin/0004012
14 pages, 9 figures, submitted to Bulletin of Mathematical Biology
arxiv created 2000/04/07 · openalex publication_date 2000/04/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.