Cellular automata modelling and spreadability

The purpose of this paper is to give an alternative modelling approach to spatiotemporal systems which is more satisfactory from an implementation point of view: a discrete approach based on cellular automata. Moreover, we concentrate on geographic spread phenomenon which occurs in various fields ra...

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Bibliographic Details
Published in:Mathematical and computer modelling 2002-12, Vol.36 (9), p.1059-1074
Main Authors: El Yacoubi, S., El Jai, A.
Format: Article
Language:English
Subjects:
Applied sciences
Automata. Abstract machines. Turing machines
Cellular automata
Computer Science
Computer science
control theory
systems
Exact sciences and technology
Mathematics
Modelling
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
Spreadability
Theoretical computing
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Summary:The purpose of this paper is to give an alternative modelling approach to spatiotemporal systems which is more satisfactory from an implementation point of view: a discrete approach based on cellular automata. Moreover, we concentrate on geographic spread phenomenon which occurs in various fields ranging from ecology and biology to medical science and species abundance. Spreadability concept and spray control [1,2] has been much less studied in continuous systems because of the difficulties in partial differential equations modelling approach. We recall the main features of spreadability as developed in [1] and show that they may be described and implemented very simply by cellular automata approach. Various examples illustrate the developed results.
ISSN:0895-7177
1872-9479
DOI:10.1016/S0895-7177(02)00259-5