EMERGENCE OF POWER-LAW IN SPATIAL EPIDEMICS USING CELLULAR AUTOMATION
Li Li,
Gui-Quan Sun and
Zhen Jin ()
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Li Li: School of Mechatronic Engineering, 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
International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 08, 983-989
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.
Keywords: Cellular automata; epidemiology; power-law; wave; 87.23.Cc; 05.40.-a; 82.40.Ck (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0129183110015634
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