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Record Nr. |
UNISA996466555503316 |
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Autore |
Treibert Sarah Marie |
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Titolo |
Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic [[electronic resource] /] / by Sarah Marie Treibert |
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Pubbl/distr/stampa |
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Wiesbaden : , : Springer Fachmedien Wiesbaden : , : Imprint : Springer Spektrum, , 2021 |
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ISBN |
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9783658359324 |
9783658359317 |
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Edizione |
[1st ed. 2021.] |
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Descrizione fisica |
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1 online resource (260 pages) |
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Collana |
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Disciplina |
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Soggetti |
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Mathematics |
Applications of Mathematics |
Pandèmia de COVID-19, 2020- |
Models matemàtics |
Previsió |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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´. |
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Sommario/riassunto |
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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. |
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