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Spaces of Measures and their Applications to Structured Population Models

Spaces of Measures and their Applications to Structured Population Models

Hardcover

Series: Cambridge Monographs on Applied and Computational Mathematic, Book 36

General MathematicsGeneral Sociology

ISBN10: 1316519104
ISBN13: 9781316519103
Publisher: Cambridge University Press
Published: Oct 7 2021
Pages: 322
Weight: 1.41
Height: 0.88 Width: 6.00 Depth: 9.00
Language: English
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.

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General Mathematics