Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic

Download or read book Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic written by Sarah Marie Treibert and published by Springer Nature. This book was released on 2021-12-11 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.