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Einladung zum Vortrag (Zoom) von Frau Dr. Aleksandra Puchalska (Universität Warschau) am 28.07.2021 - 14:30 Uhr im Rahmen des Forschungsseminars Analysis

[28.07.2021]

Im Rahmen des Forschungsseminars Analysis hält am Mittwoch, den 28. Juli 2021, um 14:30 Uhr,

Frau Dr. Aleksandra Puchalska (Universität Warschau)

einen Vortrag zum Thema

Multigroup SIS type model with fixed time impulses.

Abstract: In the talk we present a system of SIS models coupled by impulses at fixed times in the way that it can describe the transfer of patients between healthcare facilities.

The first aim for his considerations is to provide analytical background for numerical simulation of multidrug-resistant bacteria spread based on admission/discharge data from insurance providers for Saxony and Thuringia (Germany for years 2010 - 2016 considered in [1].

On the other hand the research is the first look at the relation between impulsive multigroup dynamical systems and the concept of metric graphs. We will give some thoughts on possible convergence results between those

two objects which is the aim of further study. Additionally, we indicate how relatively simple spectral estimates can be used in applied sciences (to control the level of infectiveness of patients’ network).

The results were obtained in collaboration with Monika J. Piotrowska and Konrad Sakowski.

References:

[1] A. Lonc, M. J. Piotrowska and K. Sakowski, Analysis of the AOK Plus data and derived hospital network (2017) Mathematica Applicanda, vol. 47 2019, 127 -- 139, doi: 10.14708/ma.v47i1.6497

Der Vortrag findet im Rahmen eines Zoom-Meetings statt. Bei Interesse an den Zugangsdaten bitte bei Herrn Prof. Mugnolo (delio.mugnolo@fernuni-hagen.de) melden.

mathinf.webteam | 30.06.2021