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Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic
Title
Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic [electronic resource] / by Sarah Marie Treibert.
ISBN
9783658359324
Edition
1st ed. 2021.
Publication
Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2021.
Physical Description
XVIII, 248 p. 63 illus.
Local Notes
Access is available to the Yale community.
Access and use
Access restricted by licensing agreement.
Summary
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. 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.
Variant and related titles
Springer ENIN.
Other formats
Printed edition:
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
October 03, 2023
Series
BestMasters,
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´.
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