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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Bibliographic Details
Main Authors: Düll, Christian, Gwiazda, Piotr (Author), Marciniak-Czochra, Anna (Author), Skrzeczkowski, Jakub (Author)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2022
Series:Cambridge monographs on applied and computational mathematics
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Description
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:xi, 308 pages digital
ISBN:9781009004770