Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Perthame, Benoît (1959-....)
Titre(s) : Parabolic equations in biology [Texte électronique] : growth, reaction, movement and diffusion / Benoît Perthame
Publication : Cham : Springer International Publishing : Springer e-books : Imprint: Springer, 2015
Description matérielle : 1 online resource
Collection : Lecture Notes on Mathematical Modelling in the Life Sciences
Note(s) : Titre provenant de la page de titre du document numérisé. - La pagination de l'édition imprimée correspondante est de : 199 pages. - Notes bibliogr. Index
This book presents several fundamental questions in mathematical biology such as Turing
instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck
equations. These are classical modeling tools for mathematical biology with applications
to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis,
invasion waves etc. The book presents these aspects from a mathematical perspective,
with the aim of identifying those qualitative properties of the models that are relevant
for biological applications. To do so, it uncovers the mechanisms at work behind Turing
instability, pattern formation and invasion waves. This involves several mathematical
tools, such as stability and instability analysis, blow-up in finite time, asymptotic
methods and relative entropy properties. Given the content presented, the book is
well suited as a textbook for master-level coursework
Sujet(s) : Équations différentielles paraboliques
Équations aux dérivées partielles
Indice(s) Dewey :
570.285 (23e éd.) = Biologie - Informatique appliquée
Identifiants, prix et caractéristiques : ISBN 9783319195001
Identifiant de la notice : ark:/12148/cb446799365
Notice n° :
FRBNF44679936
(notice reprise d'un réservoir extérieur)
