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Spaces of Measures and their Applications to Structured Population Models (Hardcover)
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Spaces of Measures and their Applications to Structured Population Models (Hardcover)
Series: Cambridge Monographs on Applied and Computational Mathematics
Expected to ship within 12 - 17 working days
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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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