03054nam 22005775 450 99646655550331620240215104230.09783658359324(electronic bk.)978365835931710.1007/978-3-658-35932-4(MiAaPQ)EBC6825388(Au-PeEL)EBL6825388(CKB)20120245600041(DE-He213)978-3-658-35932-4(PPN)259387428(EXLCZ)992012024560004120211211d2021 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic[electronic resource] /by Sarah Marie Treibert1st ed. 2021.Wiesbaden :Springer Fachmedien Wiesbaden :Imprint: Springer Spektrum,2021.1 online resource (260 pages)BestMasters,2625-3615Print version: Treibert, Sarah Marie Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic Wiesbaden : Springer Fachmedien Wiesbaden GmbH,c2022 9783658359317 Includes bibliographical references.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´.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.BestMasters,2625-3615MathematicsApplications of MathematicsPandèmia de COVID-19, 2020-thubModels matemàticsthubPrevisióthubLlibres electrònicsthubMathematics.Applications of Mathematics.Pandèmia de COVID-19, 2020-Models matemàticsPrevisió362.1962414015118Treibert Sarah Marie1070555MiAaPQMiAaPQMiAaPQ996466555503316Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic2564286UNISA