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An Ising-based Model for the Spread of Infection

Authors: Christian P. Crisostomo, Chrysline Margus N. Piñol

Abstract:

A zero-field ferromagnetic Ising model is utilized to simulate the propagation of infection in a population that assumes a square lattice structure. The rate of infection increases with temperature. The disease spreads faster among individuals with low J values. Such effect, however, diminishes at higher temperatures.

Keywords: Epidemiology, Ising model, lattice models

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1057395

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References:


[1] HW Hethcote, "Three basic epidemiological models", In: Levin, Hallan, Gross (Eds.), Applied mathematical ecology. Biomathematics, vol. 18, New York: Springer-Verlag, 1989, pp. 119ÔÇö144.
[2] BA Cipra, "An introduction to the Ising model", The American Mathematical Monthly, vol. 94, no. 10, pp. 937--959, 1987.
[3] LF Lopez and E Massad, "Time-dependent discrete, Ising-like model for SIS epidemic systems", In Proceedings of European Conference on Mathematical and Theoretical Biology, 2011.