Feedback spreading controls for semilinear parabolic systems
Journal of Computational and Applied Mathematics - control of partial differential equations
Theory of Self-Reproducing Automata
Theory of Self-Reproducing Automata
Cellular automata modelling and spreadability
Mathematical and Computer Modelling: An International Journal
Spreadable cellular automata: modelling and simulations
International Journal of Systems Science
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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.