Details

Autor(en) / Beteiligte

• Düll, Christian
• Gwiazda, Piotr
• Marciniak-Czochra, Anna
• Skrzeczkowski, Jakub

Titel

Spaces of measures and their applications to structured population models

Ist Teil von

• Cambridge monographs on applied and computational mathematics : 36 (Alle Bände)

Ort / Verlag

Cambridge : Cambridge University Press

Erscheinungsjahr

2022

Link zum Volltext

• Cambridge University Press online books

  URL des Erstveröffentlichers

Link zu anderen Inhalten

• Volltext

Beschreibungen/Notizen

• Title from publisher's bibliographic system (viewed on 27 Sep 2021)
• Analytical setting -- Structured population models on state space R -- Structured population models on proper spaces -- Numerical methods for structured population models -- Recent developments and future perspectives
• 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