Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic

ISBN-13: 9783658359317 / Angielski / Miękka / 2021 / 268 str.

Sarah Marie Treibert

Opis

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.

Spis treści

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´.

O autorze

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.

Blurb

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.