Transport equations in biology

This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative propertie...

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Detalhes bibliográficos
Autor principal: Perthame, Benoît, 1959-...., mathématicien
Formato: Livre papier
Idioma:Anglais
Publicado em: Basel [etc.] : Birkhäuser C 2007.
Colecção:Frontiers in mathematics
Assuntos:
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Transport Equations in Biology, Benoît Perthame, 1st ed. 2007., 20XX, Basel, Birkhäuser Basel, Frontiers in Mathematics, 978-3-7643-7842-4
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100 1 |a Perthame, Benoît,  |d 1959-....,  |c mathématicien. 
245 1 0 |a Transport equations in biology   |c Benoît Perthame. 
260 |a Basel [etc.] :  |b Birkhäuser. 
260 |c C 2007. 
300 |a 1 volume (VIII-198 pages) :  |b illustrations en noir et blanc, figures, couverture illustrée ;  |c 24 cm. 
490 1 |a Frontiers in mathematics 
504 |a Bibliographie pages [179]-194. Index 
520 |a This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions (long time behavior, concentration phenomena, asymptotic behavior, regularizing effects, blow-up or dispersion). Original mathematical methods described are, among others, the generalized relative entropy method - a unique method to tackle most of the problems in population biology, the description of Dirac concentration effects using a new type of Hamilton-Jacobi equations, and a general point of view on chemotaxis including various scales of description leading to kinetic, parabolic or hyperbolic equations. 
650 |a Biologie des populations 
650 |a Biologie des populations  |x Modèles mathématiques 
650 |a Écologie 
650 |a Équations aux dérivées partielles 
650 |a Biomathématiques 
776 0 |0 123165830  |t Transport Equations in Biology  |f Benoît Perthame  |e 1st ed. 2007.  |d 20XX  |c Basel  |n Birkhäuser Basel  |s Frontiers in Mathematics  |z 978-3-7643-7842-4 
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