Transport Equations in Biology (Paperback)

Benoit Perthame

ISBN 10: 3764378417 / ISBN 13: 9783764378417

Published by Birkhauser Verlag AG, Basel, 2006

About this Item

Paperback. 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. It develops appropriate mathematical tools and qualitative properties of the solutions (long time behavior, concentration phenomena, asymptotic behavior, regularizing effects, blow-up or dispersion). The book describes such original mathematical methods as 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. 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. This work aims to derive appropriate mathematical tools and qualitative properties of the solutions. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9783764378417

Bibliographic Details

• Title: Transport Equations in Biology (Paperback)
• Publisher: Birkhauser Verlag AG, Basel
• Publication Date: 2006
• Language: English
• ISBN 10: 3764378417
• ISBN 13: 9783764378417
• Binding: Paperback
• Condition: new

About this title

Synopsis

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. It develops appropriate mathematical tools and qualitative properties of the solutions (long time behavior, concentration phenomena, asymptotic behavior, regularizing effects, blow-up or dispersion). The book describes such original mathematical methods as 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.