ISBN:
9781316519103
Language:
English
Pages:
xi, 308 Seiten
,
Diagramme
Series Statement:
Cambridge monographs on applied and computational mathematics 36
Series Statement:
Cambridge monographs on applied and computational mathematics
Parallel Title:
Erscheint auch als
DDC:
304.601/51
Keywords:
Population / Mathematical models
;
Functions of bounded variation
;
Lipschitz spaces
;
Metric spaces
;
Radon measures
;
Biology / Mathematical models
;
Populationsbiologie
;
Mathematisches Modell
;
Biomathematik
;
Biomathematik
;
Populationsbiologie
;
Mathematisches Modell
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
