An Introduction to Delay Differential Equations with Applications to the Life Sciences
Seiten
2012
|
2011 ed.
Springer-Verlag New York Inc.
978-1-4614-2697-4 (ISBN)
Springer-Verlag New York Inc.
978-1-4614-2697-4 (ISBN)
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.
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 |
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