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An Introduction to Delay Differential Equations with Applications to the Life Sciences

(Autor)

Buch | Hardcover
172 Seiten
2010 | 2011 ed.
Springer-Verlag New York Inc.
978-1-4419-7645-1 (ISBN)

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An Introduction to Delay Differential Equations with Applications to the Life Sciences - Hal Smith
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This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly.
The author has used preliminary notes in teaching such a course at Arizona State University over the past two years.
This book focuses on the key tools necessary to understand the applications literature involving delay equations and to construct and analyze mathematical models involving delay differential equations. The book begins with a survey of mathematical models involving delay equations.

Hal Smith is a Professor at the School of Mathematical and Statistical Sciences at Arizona State University.

1 Introduction.-The Simplest Delay Equation.-Delayed Negative Feedback: A Warm-Up.- Existence of Solutions.- Linear Systems and Linearization.- Semidynamical Systems and Delay Equations.- Hopf Bifurcation.- Distributed Delay Equations and the Linear Chain Trick.- Phage and Bacteria in a Chemostat.-References.- Index.

Erscheint lt. Verlag 6.10.2010
Reihe/Serie Texts in Applied Mathematics ; 57
Zusatzinfo XI, 172 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Informatik Weitere Themen Bioinformatik
Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Biologie
ISBN-10 1-4419-7645-0 / 1441976450
ISBN-13 978-1-4419-7645-1 / 9781441976451
Zustand Neuware
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