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Hyperbolic and kinetic models for self-organised biological aggregations [electronic resource] : a modelling and pattern formation approach / by Raluca Eftimie



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Autore: Eftimie, Raluca Visualizza persona
Titolo: Hyperbolic and kinetic models for self-organised biological aggregations [electronic resource] : a modelling and pattern formation approach / by Raluca Eftimie Visualizza cluster
Pubblicazione: Cham : Springer, [2018?]
Descrizione fisica: 1 online resource (xiii, 280 pages) : illustrations (some color)
Disciplina: 570.285
Titolo uniforme di collana: Lecture notes in mathematics ; 2232
Lecture notes in mathematics. Mathematical biosciences subseries
Soggetto topico: Ecology
Differential equations, partial
Numerical analysis
Classificazione: AMS 92C15
Nota di bibliografia: Includes bibliographical references and index
Nota di contenuto: Introduction ; A Short Introduction to One-Dimensional Conservation Laws ; One-Equation Local Hyperbolic Models ; Local Hyperbolic/Kinetic Systems in 1D ; Nonlocal Hyperbolic Models in 1D ; Multi-Dimensional Transport Equations ; Numerical Approaches for Kinetic and Hyperbolic Models ; A Few Notions of Stability and Bifurcation Theory ; Discussion and Further Open Problems
Sommario/riassunto: 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
ISBN: 9783030025861
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: b14363598
Lo trovi qui: Univ. del Salento
Localizzazioni e accesso elettronico http://link.springer.com/10.1007/978-3-030-02586-1
Opac: Controlla la disponibilità qui
Serie: Lecture notes in mathematics ; 2232 Lecture notes in mathematics. Mathematical biosciences subseries Lecture notes in mathematics, 2524-6771 ; 2232
Altra ed. diverso supporto: Printed edition: 9783030025854 Printed edition: 9783030025878