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28 March 2024
 
  » arxiv » nlin/0605046

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Spatial organization and evolution period of the epidemic model using cellular automata
Liu Quanxing ; Jin Zhen ;
Date 25 May 2006
Subject Cellular Automata and Lattice Gases
AbstractWe investigate epidemic models with spatial structure basing on the cellular automata method. The construction of the cellular automata is from J"{o}rg R. Weimar’s study about the reaction-diffusion equations (Phys. Rev. E 49). Here, It is shown that the spatial epidemic models exhibits spontaneous formation of dynamical patterns with fractal fronts (or resemble irregular spiral waves) at larger scales within the domain of chaos. Moreover the dynamical patterns with fractal fronts grows stably and exists periodically. The system also shows spatial period-2 structure at one-dimensional for certain parameter value. Simultaneity, in the domain of chaos the spatial period-2 structure will break and transition to spatial synchrony configuration.
Source arXiv, nlin/0605046
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