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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 84
PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: B.H.V. Topping, G. Montero and R. Montenegro
Paper 34
Epidemiology through Hexagonal Cellular Automata A. Hernández Encinas1, L. Hernández Encinas2, R. Álvarez Mariño3, S. Hoya White1, A. Martín del Rey1 and G. Rodríguez Sánchez1
1Department of Applied Mathematics, Universidad de Salamanca, Spain
Full Bibliographic Reference for this paper
, "Epidemiology through Hexagonal Cellular Automata", in B.H.V. Topping, G. Montero, R. Montenegro, (Editors), "Proceedings of the Fifth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 34, 2006. doi:10.4203/ccp.84.34
Keywords: cellular automata, epidemic spreading, hexagonal cellulal space, mathematical modelling, rectangular cellular space, SIR model.
Summary
The main goal of this work is to introduce a new mathematical model
based on the use of cellular automaton to simulate epidemic spreading.
Specifically, it is a SIR-type model, that is, the population is divided
into three classes: The susceptible individuals (S) are those capable
to contracting the disease; the infected individuals (I) are those capable
of spreading the disease; and the recovered individuals (
![]() Cellular automata (CA for short) are simple models of computation capable to simulate complex physical, biological or environmental phenomena. Roughly speaking, a two-dimensional CA is formed by a two-dimensional array of identical objects called cells, which are endowed with a state that change in discrete steps of time according to a specific rule. As the CA evolves, the updated function (whose variables are the states of the neighbors) determines how local interactions can influence the global behaviour of the system. The main features of the model are the following:
Rectangular and hexagonal cellular spaces are considered with different types of neighborhoods: Von Neumann neighborhood, Moore neighborhood, hexagonal Moore neighborhood and extended Moore neighbordhood. It is shown that the simulations obtained are more accute when hexagonal cellular space is considered. Moreover, the laboratory simulations obtained seem to be in agreement with the expected behaviour of a real epidemic. purchase the full-text of this paper (price £20)
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