Mathematical Modeling of Infectious Diseases at Macro and Micro Level Taking into Account Uncertainty.
TITLE:
CSRC Colloquium
Mathematical Modeling of Infectious Diseases at Macro and Micro
Level Taking into Account Uncertainty.
DATE:
Friday, December 6, 2019
TIME:
3:30 PM
LOCATION:
GMCS-314
SPEAKER:
Dr. Gilberto Gonzalez-Parra, Assistant Professor, Department of Mathematics, New Mexico Tech, Socorro, NM.
ABSTRACT:
Mathematical models are essential in a variety of fields. Nowadays, there are many applications of
mathematical models and these are continuously increasing. One particular topic where mathematical
models have been used is on infectious diseases. In this talk, I will present a mathematical model that
deals with the Chikungunya virus spread. In particular, the model is used to describe the situation
in Colombia at the human population level. Additionally, I will present some mathematical models
used in virology or biology to deal with different type of viruses, but at the cell level. We will see
that the mathematical approaches are similar but details vary due to micro and macro levels. The
mathematical models help to understand these biological processes and in some cases forecast future
scenarios. Finally, I will explain some challenges that need to be addressed concerning uncertainty
of the parameters in the aforementioned mathematical models.
Keywords:
Mathematical modeling, Infectious diseases, Viral dynamics, Uncertainty
HOST:
Jose Castillo
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