MIDAS Latin America Seminar: Adaptive Human Behavior in Mathematical Models

Please join us for the next MIDAS Latin America Seminar. 

Date: Thursday, November 17th, 2022
Time: 12:00pm – 1:00pm Eastern Standard Time (US) 
*Please be aware we are NO LONGER observing Daylight Saving Time in the Eastern Time Zone.
Be sure that you account for differences depending on your local time zone.*
(12:00pm – 1:00pm *Bogota*, 2:00pm – 3:00pm *Rio*, 1:00pm – 2:00pm *San Juan*, 11:00am -12:00pm *San Jose*)


Speaker: Dr. Fabio Sanchez

Topic: “Adaptive Human Behavior in Mathematical Models.”

The use of mathematical models in epidemiology dates back more than a century. However, these models have important assumptions, for example, a homogeneous population and rigid contact structure. Here, using the classic SIR (Susceptible-Infected-Recovered) models in our case with nonlinear relapse, we attempt to disaggregate the contact structure into a more adaptive scenario where individuals in different stages can change their contact structure established. Conditions for a forward-backward bifurcation are established, and some numerical examples are explored. 

Titulo: Comportamiento humano adaptativo en modelos matemáticos

El uso de modelos matemáticos en epidemiología se remonta a más de un siglo. Sin embargo, estos modelos tienen supuestos importantes, por ejemplo, una población homogénea y una estructura de contacto rígida. Aquí, utilizando los modelos clásicos SIR (susceptible-infectado-recuperado) en nuestro caso con recaída no lineal, intentamos desagregar la estructura de contacto en un escenario más adaptativo donde los individuos en diferentes estados epidemiológicos pueden cambiar su estructura de contacto establecida. Se establecen las condiciones para una bifurcación forward-backward y se exploran algunos ejemplos numéricos.


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