A cellular automata model with probability infection and spatial dispersion

Zhen Jin, Quan Xing Liu, Haque Mainul

Research output: Journal PublicationArticlepeer-review

12 Citations (Scopus)


In this article, we have proposed an epidemic model based on the probability cellular automata theory. The essential mathematical features are analysed with the help of stability theory. We have given an alternative modelling approach for the spatiotemporal system which is more realistic from the practical point of view. A discrete and spatiotemporal approach is shown by using cellular automata theory. It is interesting to note that both the size of the endemic equilibrium and the density of the individuals increase with the increase of the neighbourhood size and infection rate, but the infections decrease with the increase of the recovery rate. The stability of the system around the positive interior equilibrium has been shown by using a suitable Lyapunov function. Finally, experimental data simulation for SARS disease in China in 2003 and a brief discussion are given.

Original languageEnglish
Article number017
Pages (from-to)1267-1275
Number of pages9
JournalChinese Physics
Issue number5
Publication statusPublished - 1 Jun 2007
Externally publishedYes


  • Cellular automata
  • Mean-field approximation
  • SEIS model
  • Spatial epidemic
  • Stability

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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