This book provides an introduction to the qualitative theory and
applications of partial functional differential equations from the
viewpoint of dynamical systems. Many fundamental results and
methods scattered throughout research journals are described,
various applications to population growth in a heterogeneous
environment are presented and a comprehensive bibliography from
both mathematical and biological sources is provided. The main
emphasis of the book is on reaction-diffusion equations with
delayed nonlinear reaction terms and on the joint effect of the
time delay and spatial diffusion on the spatial-temporal patterns
of the considered systems. The presentation is self-contained and
accessible to the nonspecialist. The book should be of value to
graduate students and researchers in dynamical systems,
differential equations, semigroup theory, nonlinear analysis and
mathematical biology. The style of the presentation appeals
especially to people trained and interested in the qualitative
theory of ordinary/functional/partial differential equations.
General
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