Stability and Oscillations in Delay Differential Equations of Population Dynamics by K. GopalsamyStability and Oscillations in Delay Differential Equations of Population Dynamics by K. Gopalsamy

Stability and Oscillations in Delay Differential Equations of Population Dynamics

byK. Gopalsamy

Paperback | December 9, 2010

not yet rated|write a review

Pricing and Purchase Info

$346.55 online 
$388.95 list price save 10%
Earn 1733 plum® points

In stock online

Ships free on orders over $25

Not available in stores

about

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 & Specs

Title:Stability and Oscillations in Delay Differential Equations of Population DynamicsFormat:PaperbackDimensions:513 pages, 9.45 × 6.3 × 0.03 inPublished:December 9, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048141192

ISBN - 13:9789048141197

Look for similar items by category:

Customer Reviews of Stability and Oscillations in Delay Differential Equations of Population Dynamics

Reviews

Extra Content

Table of Contents

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. Index.