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Transport Equations in Biology
Paperback
Series: Frontiers in Mathematics
ISBN13: 9783764378417
Publisher: Birkhauser
Published: Oct 23 2006
Pages: 198
Weight: 0.83
Height: 0.45 Width: 7.00 Depth: 10.00
Language: English
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.
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