B3Kat (1/1)
Spaces of measures and their applications to structured population models
Verfasser: Düll, Christian (DE-588)1180545761Verfasser: Gwiazda, Piotr (DE-588)1053844778
Verfasser: Marciniak-Czochra, Anna <1974-> (DE-588)1044379626
Verfasser: Skrzeczkowski, Jakub <ca. 20./21. Jh.> (DE-588)1244870765
978-1-316-51910-3
Schlagwörter: Biomathematik ; Populationsbiologie ; Mathematisches Modell
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Letzte Änderung: 07.03.2022
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Letzte Änderung: 07.03.2022
Titel: | Spaces of measures and their applications to structured population models |
---|---|
Von: | Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, Jakub Skrzeczkowski |
ISBN: | 978-1-316-51910-3 |
Erscheinungsort: | Cambridge |
Verlag: | Cambridge University Press |
Erscheinungsjahr: | 2022 |
Umfang: | xi, 308 Seiten |
Details: | Diagramme |
Serie/Reihe: | Cambridge monographs on applied and computational mathematics |
Band: | 36 |
ID der Serie/Reihe: | (DE-604)BV011073737 |
Abstract: | Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animals or humans, including phenomena such as crowd dynamics or pedestrian flows. This book introduces the mathematical underpinnings of these applications, providing a comprehensive analytical framework for structured population models in spaces of Radon measures. The unified approach allows for the study of transport processes on structures that are not vector spaces (such as traffic flow on graphs) and enables the analysis of the numerical algorithms used in applications. Presenting a coherent account of over a decade of research in the area, the text includes appendices outlining the necessary background material and discusses current trends in the theory, enabling graduate students to jump quickly into research |
Sprache: | eng |
RVK-Notation: | SK 950 |
Andere Ausgabe: | Erscheint auch als |
_Bemerkung: | Online-Ausgabe, ebook |
_ISBN: | 978-1-00-900477-0 |
Thema (Schlagwort): | Biomathematik; Populationsbiologie; Mathematisches Modell |
Weitere Schlagwörter : | Population / Mathematical models; Functions of bounded variation; Lipschitz spaces; Metric spaces; Radon measures; Biology / Mathematical models |
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490 | 1 | |a Cambridge monographs on applied and computational mathematics |v 36 | |
520 | |a Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animals or humans, including phenomena such as crowd dynamics or pedestrian flows. This book introduces the mathematical underpinnings of these applications, providing a comprehensive analytical framework for structured population models in spaces of Radon measures. The unified approach allows for the study of transport processes on structures that are not vector spaces (such as traffic flow on graphs) and enables the analysis of the numerical algorithms used in applications. Presenting a coherent account of over a decade of research in the area, the text includes appendices outlining the necessary background material and discusses current trends in the theory, enabling graduate students to jump quickly into research | ||
650 | 4 | |a Population / Mathematical models | |
650 | 4 | |a Functions of bounded variation | |
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