TITLE:
Analogy between the Formulation of Ising-Glauber Model and Si Epidemiological Model
AUTHORS:
Cristina Gabriela Aguilar Lara, Eduardo Massad, Luis Fernandez Lopez, Marcos Amaku
KEYWORDS:
Ising-Glauber Model, Epidemiology, Computer Simulation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.5,
May
23,
2019
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.