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Sebastian Strandh: Stability analysis of the SEIR model

Time: Mon 2021-05-31 13.30 - 14.30

Location: Meeting ID: 668 9404 2796

Respondent: Sebastian Strandh

Abstract

The SEIR (Susceptible-Exposed-Infected-Removed) model is a compartmental epidemiological model used to investigate and predict the spread of disease. In this thesis a modification is presented in which the transferals between compartments is modified.

The main purpose of this thesis is to study the stability of equilibrium points of both the conventional SEIR model as well as the modified version. The stability characteristics of equilibria is significant epidemiologically as it determines whether a given disease will die out or persist in the population.

Local stability is determined through linearization utilizing the Hartman-Grobman theorem, and asymptotic stability is determined through the use of Lyapunov functions and LaSalle's invariance theorem.

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Last changed: May 27, 2021