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Stability and Oscillations in Delay Differential Equations of Population Dynamics - K. Gopalsamy
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K. Gopalsamy:

Stability and Oscillations in Delay Differential Equations of Population Dynamics - Paperback

2010, ISBN: 9048141192

[EAN: 9789048141197], Neubuch, [PU: Springer Netherlands Dez 2010], CALCULUS; DIFFERENTIALEQUATION; EQUATION; FUNCTION; MODEL; POPULATIONDYNAMICS; ORDINARYDIFFERENTIALEQUATIONS, This item… More...

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Stability and Oscillations in Delay Differential Equations of Population Dynamics (Mathematics and Its Applications) (Mathematics and Its Applications, 74, Band 74) - Gopalsamy, K.
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Gopalsamy, K.:

Stability and Oscillations in Delay Differential Equations of Population Dynamics (Mathematics and Its Applications) (Mathematics and Its Applications, 74, Band 74) - Paperback

2010, ISBN: 9789048141197

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1992, 516 Seiten, Publiziert: 2010-12-08T00:00:01Z, Produktgruppe: Buch, 1.58 kg, Mathematik, Naturwissenschaften & … More...

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K. Gopalsamy:
Stability and Oscillations in Delay Differential Equations of Population Dynamics (Mathematics and Its Applications) - Paperback

ISBN: 9789048141197

Springer Netherlands, 1992. Paperback. New. 520 pages. 8.80x6.40x1.40 inches., Springer Netherlands, 1992, 6

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Gopalsamy, K.:
Stability and Oscillations in Delay Differential Equations of Population Dynamics (Mathematics and Its Applications, 74) - Paperback

2010, ISBN: 9048141192

[EAN: 9789048141197], Neubuch, [PU: Springer], Books

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K. Gopalsamy:
Stability and Oscillations in Delay Differential Equations of Population Dynamics - new book

ISBN: 9789048141197

Springer , pp. 516 . Papeback. New., Springer, 6

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Details of the book
Stability and Oscillations in Delay Differential Equations of Population Dynamics (Mathematics and Its Applications) (Mathematics and Its Applications, 74, Band 74)
Author:
Title:
ISBN:

9789048141197


This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics include linear and nonlinear delay and integrodifferential equations, which have potential applications to both biological and physical dynamic processes. Chapter 1 deals with an analysis of the dynamical characteristics of the delay logistic equation, and a number of techniques and results relating to stability, oscillation and comparison of scalar delay and integrodifferential equations are presented. Chapter 2 provides a tutorial-style introduction to the study of delay-induced Hopf bifurcation to periodicity and the related computations for the analysis of the stability of bifurcating periodic solutions. Chapter 3 is devoted to local analyses of nonlinear model systems and discusses many methods applicable to linear equations and their perturbations. Chapter 4 considers global convergence to equilibrium states of nonlinear systems, and includes oscillations of nonlinear systems about their equilibria. Qualitative analyses of both competitive and cooperative systems with time delays feature in both Chapters 3 and 4. Finally, Chapter 5 deals with recent developments in models of neutral differential equations and their applications to population dynamics. Each chapter concludes with a number of exercises and the overall exposition recommends this volume as a good supplementary text for graduate courses. For mathematicians whose work involves functional differential equations, and whose interest extends beyond the boundaries of linear stability analysis.

Details of the book - Stability and Oscillations in Delay Differential Equations of Population Dynamics (Mathematics and Its Applications) (Mathematics and Its Applications, 74, Band 74)


EAN (ISBN-13): 9789048141197
ISBN (ISBN-10): 9048141192
Hardcover
Paperback
Publishing year: 2010
Publisher: Springer
516 Pages
Weight: 0,772 kg
Language: eng/Englisch

Book in our database since 2011-01-07T16:25:25+00:00 (London)
Detail page last modified on 2023-12-05T16:07:42+00:00 (London)
ISBN/EAN: 9789048141197

ISBN - alternate spelling:
90-481-4119-2, 978-90-481-4119-7
Alternate spelling and related search-keywords:
Book title: delay equations, population dynamics, stability delay, dynamic stability, stability oscillations

Information from Publisher

Author: K. Gopalsamy
Title: Mathematics and Its Applications; Stability and Oscillations in Delay Differential Equations of Population Dynamics
Publisher: Springer; Springer Netherland
502 Pages
Publishing year: 2010-12-09
Dordrecht; NL
Printed / Made in
Language: English
213,99 € (DE)
219,99 € (AT)
236,00 CHF (CH)
POD
XII, 502 p.

BC; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Mathematische Modellierung; Verstehen; calculus; differential equation; dynamics; equation; function; model; population; population dynamics; ordinary differential equations; Mathematical Modeling and Industrial Mathematics; Differential Equations; Mathematical and Computational Biology; Mathematik für Ingenieure; Differentialrechnung und -gleichungen; DV-gestützte Biologie/Bioinformatik; BB

1. The Delay Logistic Equation.- 2. Delay Induced Bifurcation to Periodicity.- 3. Methods of Linear Analysis.- 4. Global Attractivity.- 5. Models of Neutral Differential Systems.- References.

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