Analogy between the Formulation of Ising-Glauber Model and Si Epidemiological Model

Authors: Cristina Gabriela Aguilar Lara, Eduardo Massad, Luis Fernandez Lopez,
Marcos Amaku

ABSTRACT
From the mathematical point of view, the modeling of epidemics—in other words, the spread of infectious diseases transmitted from individual to individual—is very similar to the modeling of the magnetic systems studied by statistical physics. In this work, we use this analogy between mathematical epidemiology and statistical physics to study the classical mathematical model of epidemiology SI (Susceptible-Infected) approached through the Ising-Glauber model, in which individuals would be represented by atoms with spins -1 (susceptible) and 1 (infected). A Monte Carlo computational simulation was also performed for the Ising-Glauber model in a square network, where each network point represents an individual and the down and up spins represent susceptible and infected individuals.

Source:

Journal: Journal of Applied Mathematics and Physics


DOI: 10.4236/jamp.2019.75071(PDF)
Paper Id: 92566 (metadata)

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