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

2011
ISBN: 978-1-4614-2697-4
Verlag: Springer

Buch, Englisch, 172 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 289 g

Reihe: Texts in Applied Mathematics

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Smith, Hal

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik

Inhaltsverzeichnis

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.

Über Autor(innen)

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