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

作　　者：Cristina Gabriela Aguilar Lara Eduardo Massad Luis Fernandez Lopez Marcos Amaku 

机构地区：[1]Faculty of Medicine, University of Sã o Paulo, Sã o Paulo, Brazil

出　　处：《Journal of Applied Mathematics and Physics》2019年第5期1052-1066,共15页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：Ising-Glauber Model EPIDEMIOLOGY Computer Simulation 

分 类 号：R73[医药卫生—肿瘤]