02912nam a2200421 i 4500991003634489707536m o d cr cn ||||a190402t20182018sz ob 000 0 eng d9783030025861(electronic bk.)10.1007/978-3-030-02586-1doib14363598-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng570.28523AMS 92C15Eftimie, Raluca766108Hyperbolic and kinetic models for self-organised biological aggregations[e-book] :a modelling and pattern formation approach /by Raluca EftimieCham :Springer,[2018?]©20181 online resource (xiii, 280 pages) :illustrations (some color)Lecture notes in mathematics,2524-6771 ;2232Lecture notes in mathematics. Mathematical biosciences subseriesIncludes bibliographical references and indexIntroduction ; 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 ProblemsThis 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 disciplinesEcologyDifferential equations, partialNumerical analysisPrinted edition:9783030025854Printed edition:9783030025878Lecture notes in mathematics ;2232Lecture notes in mathematics.Mathematical biosciences subserieshttp://link.springer.com/10.1007/978-3-030-02586-1An electronic book accessible through the World Wide Web.b1436359803-03-2202-04-19991003634489707536Hyperbolic and kinetic models for self-organised biological aggregations1558277UNISALENTOle01302-04-19m@ -engsz 00