MODELING EPIDEMIC BASED ON PENNA MODEL

Mingfeng He (), Qiuhui Pan and Binglin Yu
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Mingfeng He: Department of Applied Mathematics, Institute of University Students' Innovation, Dalian University of Technology, Dalian, 116024, China
Qiuhui Pan: Institute of University Students' Innovation, Department of Applied Physics, Dalian University of Technology, Dalian, 116024, China
Binglin Yu: Institute of University Students' Innovation, Dalian University of Technology, Dalian, 116024, China

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 05, 799-805

Abstract: A cellular automata model is developed aiming to study the epidemic on a lattice of two dimensions. The characteristics of individual including reproduction, death by inherited diseases and age are studied in the Penna model. The spreading of epidemic and the reproduction of individual are considered as cellular automata. We shall mainly discuss the influence on the number of epidemical patients by infection rate and death rate. The results show that the existence of epidemic mainly depends on the infection rate and the death rate but not the initial ratio of patients. There are two reasons for nonexistent epidemic. As long as the infection rate is less than 0.3, the epidemic cannot spread. On the other hand, if the infection rate and the death rate are both high, the individuals with epidemic die out and the epidemic cannot spread, either. The epidemic can exist all along when the combination of infection rate and death rate are in the mid area.

Keywords: Epidemic; Penna model; cellular automata (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183105007509

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