Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic

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.

List of contents

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´.

About the author

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.

Product details

• Authors: Sarah Marie Treibert
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 17.12.2021
• EAN: 9783658359317
• ISBN: 978-3-658-35931-7
• No. of pages: 248
• Dimensions: 148 mm x 14 mm x 210 mm
• Illustrations: XVIII, 248 p. 63 illus.
• Series: BestMasters
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous