Discrete-time SIS models

Speaker(s)

Marcin Choiński

Affiliation

doktorant MIM/Katedra Zastosowań Matematyki SGGW

Date

March 3, 2021, 12:15 p.m.

Information about the event

Zoom Meeting ID: 836 3215 1104 Passcode: BiTG

Seminar

Seminar of Biomathematics and Game Theory Group

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I will talk about discrete-time SIS models which were based on their continuous counterparts. The first type of models reflects the dynamics of epidemics in a homogeneous population - in this case two-dimensional systems are used. The second type of models corresponds to dynamics in a heterogeneous population - for this issue we will consider four-dimensional systems which are based on the two-dimensional ones. In order to discretize the continuous systems, explicit Euler scheme and non-standard discretization method were used. I will present the basic properties of the systems. In particular, the stability analysis will be discussed.

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