03739nam 22007215 450 991030966450332120200704111504.03-030-02586-110.1007/978-3-030-02586-1(CKB)4100000007389562(DE-He213)978-3-030-02586-1(MiAaPQ)EBC6253176(PPN)233797092(EXLCZ)99410000000738956220190107d2018 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierHyperbolic and Kinetic Models for Self-organised Biological Aggregations A Modelling and Pattern Formation Approach /by Raluca Eftimie1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (XIII, 280 p. 73 illus., 59 illus. in color.)Mathematical Biosciences Subseries,2524-6771 ;22323-030-02585-3 Includes bibliographical references and index.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.Mathematical Biosciences Subseries,2524-6771 ;2232BiomathematicsEcology Partial differential equationsNumerical analysisCommunity ecology, BioticMathematicsMathematical and Computational Biologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M31000Theoretical Ecology/Statisticshttps://scigraph.springernature.com/ontologies/product-market-codes/L19147Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Community & Population Ecologyhttps://scigraph.springernature.com/ontologies/product-market-codes/L19120Mathematics of Planet Earthhttps://scigraph.springernature.com/ontologies/product-market-codes/M36000Biomathematics.Ecology .Partial differential equations.Numerical analysis.Community ecology, Biotic.Mathematics.Mathematical and Computational Biology.Theoretical Ecology/Statistics.Partial Differential Equations.Numerical Analysis.Community & Population Ecology.Mathematics of Planet Earth.570.151570.15118Eftimie Ralucaauthttp://id.loc.gov/vocabulary/relators/aut766108MiAaPQMiAaPQMiAaPQBOOK9910309664503321Hyperbolic and kinetic models for self-organised biological aggregations1558277UNINA