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Discrete models of epidemic spread in a heterogeneous population

Speaker(s)
Marcin Choiński
Affiliation
doktorant MIM oraz SGGW
Date
Oct. 20, 2021, 12:15 p.m.
Information about the event
4060 oraz https://us02web.zoom.us/j/89788218933?pwd=aVc2UHdwRWMwZy8yK24rQTJWRW42QT09 Meeting ID: 897 8821 8933 Passcode: Biomat
Seminar
Seminar of Biomathematics and Game Theory Group

I will present discrete models of epidemic spread in a population in which we consider two groups of people: with a low risk of an infection and with a high one. These models are built with the use of the explicit Euler method and the non-standard discretization. I will focus on stability analysis of stationary states appearing in the systems. In the case of the non-standard discretization I will also consider a simplified version of the model in which we assume that there is no transmission of the infection from the group of the low risk of the infection to the group of the high one. The theoretical results will be complemented with numerical simulations.