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Spaces of Measures and their Applications to Structured Population Models
Christian DüllPiotr GwiazdaAnna Marciniak-CzochraJakub Skrzeczkowski
出版Cambridge University Press, 2021-10-07
主題Business & Economics / Economics / GeneralMathematics / GeneralMathematics / AppliedMathematics / Differential Equations / GeneralMathematics / Probability & Statistics / GeneralScience / Life Sciences / EcologySocial Science / Demography
ISBN13165191049781316519103
URLhttp://books.google.com.hk/books?id=j9xBEAAAQBAJ&hl=&source=gbs_api
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註釋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.