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Spreadable Probabilistic Cellular Automata Models: An Application in Epidemiology

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Cellular Automata (ACRI 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4173))

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Abstract

Many important physical processes reveal spreadable phenomena which describe the expansion with time of a given spatial property. The general spreadability concept have been studied using models based on partial differential equations (PDE’s). These spreadable dynamics are generally non linear and then difficult to simulate particularly in 2 dimensions. A cellular automata approach have been used as an alternative modelling tool to model and simulate spreadable systems in the deterministic case.

We propose in this paper a probabilistic cellular automaton model that exhibits the growth with time of a spatial property. The obtained local dynamics are directly implemented and the numerical results are performed to illustrate spreadable phenomena. An example to epidemic propagation is given to illustrate the considered phenomena.

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Authors and Affiliations

  1. MEPS/ASD, University of Perpignan, 52, Paul Alduy Avenue, 66860, Perpignan, Cedex, France

    Redouane Slimi & Samira El Yacoubi

Authors
  1. Redouane Slimi
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  2. Samira El Yacoubi
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Editor information

Editors and Affiliations

  1. Laboratory of Mathematics, Physics and Systems, University of Perpignan, 52, Paul Alduy Avenue, 66860, Perpignan, Cedex, France

    Samira El Yacoubi

  2. Computer Science Department, University of Geneva, Switzerland

    Bastien Chopard

  3. Research Center on Complex Systems and Artificial Intelligence (CSAI) Department of Computer Science, Systems and Communication (DISCo), University of Milan, Bicocca viale Sarca, 336, 20126, Milan, (Italy)

    Stefania Bandini

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© 2006 Springer-Verlag Berlin Heidelberg

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Slimi, R., El Yacoubi, S. (2006). Spreadable Probabilistic Cellular Automata Models: An Application in Epidemiology. In: El Yacoubi, S., Chopard, B., Bandini, S. (eds) Cellular Automata. ACRI 2006. Lecture Notes in Computer Science, vol 4173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11861201_39

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  • DOI: https://doi.org/10.1007/11861201_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40929-8

  • Online ISBN: 978-3-540-40932-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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