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Stability and Oscillations in Delay Differential Equations of Population Dynamics (Hardcover, 1992 ed.)
Loot Price: R5,421
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Stability and Oscillations in Delay Differential Equations of Population Dynamics (Hardcover, 1992 ed.)
Series: Mathematics and Its Applications, 74
Expected to ship within 18 - 22 working days
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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.
General
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