Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic
Springer Fachmedien Wiesbaden GmbH (Verlag)
978-3-658-35931-7 (ISBN)
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.
lt;p>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.
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´.
| Erscheinungsdatum | 14.12.2021 |
|---|---|
| Reihe/Serie | BestMasters |
| Zusatzinfo | XVIII, 248 p. 63 illus. |
| Verlagsort | Wiesbaden |
| Sprache | englisch |
| Maße | 148 x 210 mm |
| Gewicht | 350 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Schlagworte | Coronavirus • Covid-19 • epidemic modelling • Kompartimentmodell • NSFD • SIR-Modell |
| ISBN-10 | 3-658-35931-5 / 3658359315 |
| ISBN-13 | 978-3-658-35931-7 / 9783658359317 |
| Zustand | Neuware |
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