Biological Delay Systems - Linear Stability Theory

Klappentext This book deals with a fundamental question in the analysis of the effects of delays! namely whether they affect the stability of steady states. Zusammenfassung In studying the dynamics of populations! whether of animals! plants or cells! it is crucial to allow for delays such as those due to gestation! maturation or transport. This book deals with a fundamental question in the analysis of the effects of delays! namely whether they affect the stability of steady states. Inhaltsverzeichnis Preface; 1. How delays arise and what effects they have; 2. Ordinary differential equations: the polynomial characteristic equation; 3. Functional differential equations: the transcendental characteristic equation; 4. Hurwitz polynomials; 5. First- and second-order systems with a discrete delay; 6. Higher-order systems, and systems with two delays; 7. Reducing a discrete delay problem to one with a polynomial characteristic equation; 8. Stability independent of delay; 9. Distributed delay; 10. Reducible delays and linear subsystems; Appendices; Solutions to exercises; References; Index.

Product details

• Authors: N. MacDonald
• Assisted by: C. Cannings (Editor), Frank C. Hoppensteadt (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 03.01.2008
• EAN: 9780521048163
• ISBN: 978-0-521-04816-3
• No. of pages: 248
• Series: Cambridge Studies in Mathemati
• Subject: Natural sciences, medicine, IT, technology > Biology > Zoology