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    Hyperbolic and Kinetic Models for Self-organised Biological Aggregations

    Hyperbolic and Kinetic Models for Self-organised Biological Aggregations

    - A Modelling and Pattern Formation Approach

    Af
    Bog E-bog
    • Format
    • Bog, paperback
    • Engelsk

    Beskrivelse

    This book focuses on the spatio-temporal patterns generated by two classes of mathematical models (of hyperbolic and kinetic types) that have been increasingly used in the past several years to describe various biological and ecological communities. Here we combine an overview of various modelling approaches for collective behaviours displayed by individuals/cells/bacteria that interact locally and non-locally, with analytical and numerical mathematical techniques that can be used to investigate the spatio-temporal patterns produced by said individuals/cells/bacteria. Richly illustrated, the book offers a valuable guide for researchers new to the field, and is also suitable as a textbook for senior undergraduate or graduate students in mathematics or related disciplines.

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    Detaljer
    Størrelse og vægt
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    10 cm
    book img
    15,5 cm
    23,5 cm

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    Bifurcation theory Cell Movement Stationary aggregation patterns Animal movement Multiscale models Travelling aggregation patterns Multiple population models Hyperbolic Models Pattern formation Self-organised aggregation Numerical simulations Biological and ecological aggregations Transport equations Hyperbolic equations Inter-individual and inter-cellular communication Kinetic equations 35Q20 35LXX 35Q92 35R09 35R60 37G40 35BXX 92D50 35C07 58J55 65Nxx 92-01 92C15 92-02 local and non-local interactions
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