Stability and Oscillations in Delay Differential Equations of Population Dynamics is popular PDF and ePub book, written by K. Gopalsamy in 1992-03-31, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Stability and Oscillations in Delay Differential Equations of Population Dynamics can be Read Online from any device for your convenience.
Stability and Oscillations in Delay Differential Equations of Population Dynamics Book PDF Summary
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.
Detail Book of Stability and Oscillations in Delay Differential Equations of Population Dynamics PDF
- Author : K. Gopalsamy
- Release : 31 March 1992
- Publisher : Springer Science & Business Media
- ISBN : 0792315944
- Genre : Mathematics
- Total Page : 526 pages
- Language : English
- PDF File Size : 17,9 Mb
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