Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic / by Sarah Marie Treibert.

Format:

Book

Author/Creator:

Treibert, Sarah Marie, author.

Series:

BestMasters, 2625-3615

Language:

English

Subjects (All):

Mathematics.

Applications of Mathematics.

Local Subjects:

Applications of Mathematics.

Physical Description:

1 online resource (260 pages)

Edition:

1st ed. 2021.

Place of Publication:

Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2021.

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.

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´.

Notes:

Includes bibliographical references.

Other Format:

Print version: Treibert, Sarah Marie Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic

ISBN:

9783658359324