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

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

2006-05-25

arxiv.org/abs/nlin/0605046v4

Physical Review E 74, 031110 (2006)

Nonlinear Sciences

Cellular Automata and Lattice Gases

6 papges,5 figures. published in Physics Review E

Scientific paper

10.1103/PhysRevE.74.031110

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.

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