CANCELLED -- Mathematical Biology Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- 108 English Building
- Date
- Dec 10, 2025 1:00 pm
- Speaker
- Artem Novozhilov (North Dakota State University)
- Contact
- Daniel Cooney
- dbcoone2@illinois.edu
- Phone
- 914-563-4916
- Views
- 33
- Originating Calendar
- Mathematical Biology Calendar
Speaker: Artem Novozhilov (North Dakota State University)
Title: Models of heterogeneous populations: From aggregate to individual and back to aggregate behavior
Abstract: The goal of my talk is two-fold. First, and foremost, I would like to introduce the basics of a certain mathematical framework to describe an efficient way to analyze the consequences of a specific form of population heterogeneity, which is called parametric heterogeneity. This means that individuals in a population are characterized by fixed in time parameter values, which differ, however, from one individual to another. The theory will be illustrated with basic and yet (hopefully) illuminating examples of how switching from an average to individual-based description markedly changes the dynamics. While this mathematical framework is certainly not new (I have been using it myself for over 20 years), multiple (relatively recent) attempts to explain the long-term dynamics of COVID-19 epidemic reinvigorated the interest in the modeling community to this approach. Hence, my second goal for the talk is to explain why incorporating parametric heterogeneity into mathematical models of epidemic spread turned out to be necessary, and, importantly, what kind of challenges are still in place.