Analogy between the Formulation of Ising-Glauber Model and Si Epidemiological Model - Journal of Applied Mathematics and Physics

JAMP > Vol.7 No.5, May 2019

Journal of Applied Mathematics and Physics

Volume 7, Issue 5 (May 2019)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

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

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Download as PDF (Size: 488KB) PP. 1052-1066

DOI: 10.4236/jamp.2019.75071 650 Downloads 1,695 Views Citations

Author(s)

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

Affiliation(s)

Faculty of Medicine, University of São Paulo, São Paulo, Brazil.

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.

KEYWORDS

Ising-Glauber Model, Epidemiology, Computer Simulation

Share and Cite:

Lara, C. , Massad, E. , Lopez, L. and Amaku, M. (2019) Analogy between the Formulation of Ising-Glauber Model and Si Epidemiological Model. Journal of Applied Mathematics and Physics, 7, 1052-1066. doi: 10.4236/jamp.2019.75071.

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