Nonlinear Sciences – Cellular Automata and Lattice Gases
Scientific paper
2006-05-22
Chinese Physics, Vol 16 No 5, May 2007
Nonlinear Sciences
Cellular Automata and Lattice Gases
Scientific paper
10.1088/1009-1963/16/5/017
In this article, we have proposed an epidemic model by using probability cellular automata theory. The essential mathematical features are analyzed with the help of stability theory. We have given an alternative modelling approach for the spatiotemporal system which is more realistic and satisfactory from the practical point of view. A discrete and spatiotemporal approach are shown by using cellular automata theory. It is interesting to note that both size of the endemic equilibrium and density of the individual increase with the increasing of the neighborhood size and infection rate, but the infections decrease with the increasing of the recovery rate. The stability of the system around the positive interior equilibrium have been shown by using suitable Lyapunov function. Finally experimental data simulation for SARS disease in China and a brief discussion conclude the paper.
Haque Mainul
Quanxing Liu
Zhen Jin
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