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 corres...

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Bibliographic Details
Main Author: Treibert, Sarah Marie
Format: eBook
Language:English
Published: Wiesbaden Springer Fachmedien Wiesbaden 2021, 2021
Edition:1st ed. 2021
Series:BestMasters
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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505 0 |a 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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520 |a 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