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Emergence Of Power-Law In Spatial Epidemics Using Cellular Automation

Author

Listed:
  • LI LI

    (School of Mechatronic Engineering, North University of China, Taiyuan, Shanxi 030051, P. R. China;
    Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, P. R. China)

  • GUI-QUAN SUN

    (Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, P. R. China)

  • ZHEN JIN

    (Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, P. R. China)

Abstract

We analyze a spatial susceptible-infected epidemic model using cellular automata and investigate the relations between the power-law distribution of patch sizes and the regime of invasion. The obtained results show that, when the invasion is in the form of coexistence of stable target and spiral wave, power-law will emerge, which may provide a new insight into the control of disease.

Suggested Citation

  • Li Li & Gui-Quan Sun & Zhen Jin, 2010. "Emergence Of Power-Law In Spatial Epidemics Using Cellular Automation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(08), pages 983-989.
  • Handle: RePEc:wsi:ijmpcx:v:21:y:2010:i:08:n:s0129183110015634
    DOI: 10.1142/S0129183110015634
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    Cited by:

    1. Ruan, Yuhong & Li, Anwei & Huang, Jing, 2015. "Analytic function of local rules of Elementary Cellular Automata," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 404-409.

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