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

Hal Smith (Autor)

Buch | Softcover

172 Seiten

2012 | 2011 ed.
Springer-Verlag New York Inc.
978-1-4614-2697-4 (ISBN)

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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.

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 ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Biologie
Schlagworte	Delay differential equations • Functional differential equations • Time delay
ISBN-10	1-4614-2697-9 / 1461426979
ISBN-13	978-1-4614-2697-4 / 9781461426974
Zustand	Neuware