Spatial organization and evolutional period of the epidemic model using cellular automata

Abstract

We investigate epidemic models with spatial structure based on the cellular automata method. The construction of the cellular automata is from the study by Weimar and Boon about the reaction-diffusion equations [Phys. Rev. E 49, 1749 (1994)]. Our results show that the spatial epidemic models exhibit the spontaneous formation of irregular spiral waves at large scales within the domain of chaos. Moreover, the irregular spiral waves grow stably. The system also shows a spatial period-2 structure at one dimension outside the domain of chaos. It is interesting that the spatial period-2 structure will break and transform into a spatial synchronous configuration in the domain of chaos. Our results confirm that populations embed and disperse more stably in space than they do in nonspatial counterparts.

6 papges,5 figures. published in Physics Review E

References in corpus (3)

• A New Class of Cellular Automata for Reaction-Diffusion Systems
• A three-state cyclic voter model extended with Potts energy
• On the critical behavior of a lattice prey-predator model

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• Statistical mechanics characterization of spatio-compositional inhomogeneity
• Modelling the Spread of an Epidemic in Presence of Vaccination using Cellular Automata