LEADER 03054nam 22005775 450 001 996466555503316 005 20240215104230.0 010 $a9783658359324$b(electronic bk.) 010 $z9783658359317 024 7 $a10.1007/978-3-658-35932-4 035 $a(MiAaPQ)EBC6825388 035 $a(Au-PeEL)EBL6825388 035 $a(CKB)20120245600041 035 $a(DE-He213)978-3-658-35932-4 035 $a(PPN)259387428 035 $a(EXLCZ)9920120245600041 100 $a20211211d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic$b[electronic resource] /$fby Sarah Marie Treibert 205 $a1st ed. 2021. 210 1$aWiesbaden :$cSpringer Fachmedien Wiesbaden :$cImprint: Springer Spektrum,$d2021. 215 $a1 online resource (260 pages) 225 1 $aBestMasters,$x2625-3615 311 08$aPrint version: Treibert, Sarah Marie Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic Wiesbaden : Springer Fachmedien Wiesbaden GmbH,c2022 9783658359317 320 $aIncludes bibliographical references. 327 $aIntroduction -- 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´. 330 $aThis book deals with the prediction of possible future scenarios concerning the COVID-19 pandemic. Based on the well-known SIR model by Kermack and McKendrick a compartment model is established. This model comprises its own assumptions, transition rates and transmission dynamics, as well as a corresponding system of ordinary differential equations. Making use of numerical methods and a nonstandard-finite-difference scheme, two submodels are implemented in Matlab in order to make parameter estimations and compare different scenarios with each other. About the author Sarah Marie Treibert is a research assistant at the Chair of Applied Mathematics / Numerical Analysis of the University of Wuppertal (Bergische Universität Wuppertal). Her focus is on Epidemic Modelling. 410 0$aBestMasters,$x2625-3615 606 $aMathematics 606 $aApplications of Mathematics 606 $aPandčmia de COVID-19, 2020-$2thub 606 $aModels matemātics$2thub 606 $aPrevisiķ$2thub 608 $aLlibres electrōnics$2thub 615 0$aMathematics. 615 14$aApplications of Mathematics. 615 7$aPandčmia de COVID-19, 2020- 615 7$aModels matemātics 615 7$aPrevisiķ 676 $a362.1962414015118 700 $aTreibert$b Sarah Marie$01070555 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a996466555503316 996 $aMathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic$92564286 997 $aUNISA