Spaces of measures and their applications to structured population models:
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...
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| Main Author: | |
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| Other Authors: | , , |
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2022
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| Series: | Cambridge monographs on applied and computational mathematics
36 |
| Links: | https://doi.org/10.1017/9781009004770 |
| Summary: | 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. |
| Physical Description: | 1 Online-Ressource (xi, 308 Seiten) |
| ISBN: | 9781009004770 |
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| spelling | Düll, Christian Spaces of measures and their applications to structured population models Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, Jakub Skrzeczkowski Cambridge Cambridge University Press 2022 1 Online-Ressource (xi, 308 Seiten) txt c cr Cambridge monographs on applied and computational mathematics 36 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. Gwiazda, Piotr Marciniak-Czochra, Anna Skrzeczkowski, Jakub Erscheint auch als Druck-Ausgabe 9781316519103 |
| spellingShingle | Düll, Christian Spaces of measures and their applications to structured population models |
| title | Spaces of measures and their applications to structured population models |
| title_auth | Spaces of measures and their applications to structured population models |
| title_exact_search | Spaces of measures and their applications to structured population models |
| title_full | Spaces of measures and their applications to structured population models Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, Jakub Skrzeczkowski |
| title_fullStr | Spaces of measures and their applications to structured population models Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, Jakub Skrzeczkowski |
| title_full_unstemmed | Spaces of measures and their applications to structured population models Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, Jakub Skrzeczkowski |
| title_short | Spaces of measures and their applications to structured population models |
| title_sort | spaces of measures and their applications to structured population models |
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