Stability and Oscillations in Delay Differential Equations of Population Dynamics

Name: Stability and Oscillations in Delay Differential Equations of Population Dynamics
Brand: Springer Netherlands
SKU: 9789048141197
Price: 78859 HUF
Availability: InStock

Szerző: K. Gopalsamy

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer Netherlands

Elérhetőség: Beszállítói készleten

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This monograph provides a definitive overview of recent advances in the stability and oscillation of...

Információk a könyvről

Szerző

K. Gopalsamy

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2010

oldal

502

EAN

9789048141197

ISBN

9048141192

Enbook ID

01973253

Kiadó

Springer Netherlands

Súly

783

Méretek

174 x 236 x 26

Teljes leírás

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.

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Stability and Oscillations in Delay Differential Equations of Population Dynamics

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