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Hyperbolic and Kinetic Models for Self-organised Biological Aggregations

A Modelling and Pattern Formation Approach
BuchKartoniert, Paperback
280 Seiten
Englisch
Springererschienen am08.01.20191st ed. 2018
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.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR53,49
E-BookPDF1 - PDF WatermarkE-Book
EUR53,49

Produkt

KlappentextThis 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.
Details
ISBN/GTIN978-3-030-02585-4
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2019
Erscheinungsdatum08.01.2019
Auflage1st ed. 2018
ReiheMathematical Biosciences Subseries
Seiten280 Seiten
SpracheEnglisch
Gewicht466 g
IllustrationenXIII, 280 p. 73 illus., 59 illus. in color.
Artikel-Nr.45777786

Inhalt/Kritik

Inhaltsverzeichnis
- 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.mehr
Kritik
"The monograph can primarily be used as a research companion, as it provides a vivid perspective of the state-of-art in its field. ... The monograph, which is largely self-contained, can also be used as a basis for a graduate course or a research seminar on self-organized biological aggregation, the dual analytical and numerical perspective allowing for some tailoring to different purposes." (Paul Georgescu, zbMATH 1415.92002, 2019)mehr

Schlagworte

Autor

Dr. Eftimie completed her PhD in Applied Mathematics at the University of Alberta, Canada. For her PhD work on the modelling and classification of aggregation patterns in self-organised biological aggregations (which could result from various inter-individual communication mechanisms), she was honoured with the 2008 CAIMS Cecil Graham Doctoral Dissertation Award (Canada). Dr. Eftimie is currently a Reader (Associate Professor) of Applied Mathematics at the University of Dundee, United Kingdom.