TY - BOOK
T1 - Hyperbolic and kinetic models for self-organised biological aggregations
T2 - A modelling and pattern formation approach
AU - Eftimie, Raluca
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
U2 - 10.1007/978-3-030-02586-1
DO - 10.1007/978-3-030-02586-1
M3 - Book
SN - 9783030025854
T3 - Lecture Notes in Mathematics
BT - Hyperbolic and kinetic models for self-organised biological aggregations
PB - Springer International Publishing
CY - Switzerland
ER -