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.
[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.
[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.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:51659", author = "Christian P. Crisostomo and Chrysline Margus N. Piñol", title = "An Ising-based Model for the Spread of Infection", 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", volume = "6", number = "7", pages = "709-3", }