Seminar 4.11.2021: Richard Kollar

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Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations

Thursday 4.11.2021 at 14:00 Lecture room M-223

Richard Kollár (KAMŠ FMFI UK):
Herd Immunity and Modes of Epidemic Spreading in Late Epidemic Stages

Abstract:
We review the concept of herd immunity in various types of epidemic spreading models.
Particularly, we will discuss the structural failure of the herd immunity in models
of spreading on contact networks resembling the real networks.
We employ the configuration model to understand the important features
of epidemic spreading in late epidemic stages. Overall, we show
how the predictions from the models of spreading on disintegrating networks
differ from the traditionally used compartment models in epidemiology.
The material of the talk is based both on theory of dynamical systems and random graph theory.