Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic

1. Auflage 2021
ISBN: 978-3-658-35931-7
Verlag: Springer

Buch, Englisch, 248 Seiten, Format (B × H): 148 mm x 210 mm, Gewicht: 351 g

Reihe: BestMasters

This book deals with the prediction of possible future scenarios concerning the COVID-19 pandemic. Based on the well-known SIR model by Kermack and McKendrick a compartment model is established. This model comprises its own assumptions, transition rates and transmission dynamics, as well as a corresponding system of ordinary differential equations. Making use of numerical methods and a nonstandard-finite-difference scheme, two submodels are implemented in Matlab in order to make parameter estimations and compare different scenarios with each other.

Zielgruppe

Research

Autoren/Hrsg.

Treibert, Sarah Marie

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Introduction.- The Severe Acute Respiratory Syndrome Corona Virus Type 2.- The SIR Model in Epidemic Modelling.- The SARS-CoV-2-fitted SEIR Model.- Model Specifications.- Parameter Estimation in MAT LAB.- Markov Chain Epidemic Models.- R´esum´.

Über Autor(innen)

Sarah Marie Treibert is a research assistant at the Chair of Applied Mathematics / Numerical Analysis of the University of Wuppertal (Bergische Universität Wuppertal). Her focus is on Epidemic Modelling.