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Hyperbolic and kinetic models for self-organised biological aggregations : a modelling and pattern formation approach / Raluca Eftimie.

Eftimie, Raluca, author.
2018
QH323.5
Available Online
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Title
Hyperbolic and kinetic models for self-organised biological aggregations : a modelling and pattern formation approach / Raluca Eftimie.
Author
Eftimie, Raluca, author.
ISBN
9783030025861 (electronic book)
3030025861 (electronic book)
9783030025854
DOI
https://doi.org/10.1007/978-3-030-02586-1
Published
Cham, Switzerland : Springer, 2018.
Language
English
Description
1 online resource (xiii, 280 pages) : illustrations.
Item Number
10.1007/978-3-030-02586-1 doi
Call Number
QH323.5
Dewey Decimal Classification
570.1/5118
Summary
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.--Provided by publisher.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed January 21, 2019).
Series
Lecture notes in mathematics (Springer-Verlag) ; 2232.
Lecture notes in mathematics (Springer-Verlag). Mathematical biosciences subseries.
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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.

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