Epidemic Propagation: An Automaton Model as the Continuous SIR Model

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References

[1] W. O. Kermack and A. G. McKendrick, “A Contribution to the Mathematical Theory of Epidemics,” Proceedings of the Royal Society of London A, Vol. 115, No. 772, 1927, pp. 700-721.

http://dx.doi.org/10.1098/rspa.1927.0118

[2] C. Castillo-Chavez, H. W. Hethcote, V. Andreasen, S. A. Levin and W. M. Liu, “Epidemiological Models with Age Structure, Proportionate Mixing, and Cross-Immunity,” Journal of Mathematical Biology, Vol. 27, No. 3, 1989, pp. 233-258. http://dx.doi.org/10.1007/BF00275810

[3] V. Capasso, “Mathematical Structures of Epidemic Systems,” Lecture Notes in Biomathematics, Vol. 97, 1993.

http://dx.doi.org/10.1007/978-3-540-70514-7

[4] I. Nasell, “Stochastic Models of Some Endemic Infections,” Mathematical Biosciences, Vol. 179, No. 1, 2002, pp. 1-19.

http://dx.doi.org/10.1016/S0025-5564(02)00098-6

[5] N. T. J. Bailey, “The Simulation of Stochastic Epidemics in Two Dimensions,” Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, Vol. 4, 1967, pp. 237-257.

[6] S. Chang, “Cellular Automata Model for Epidemics,” 2008.

http://csc.ucdavis.edu/~chaos/courses/nlp/Projects2008/SharonChang/Report.pdf