This review describes reaction-advection-diffusion models for the ecological effects and
evolution of dispersal, and mathematical methods for analyzing those models. The topics …

Computational applications generally involve nonlinear problems and often contain
parameters. They may represent properties of the physical system they describe or …

Many ecological phenomena may be modelled using apparently random processes
involving space (and possibly time). Such phenomena are classified as spatial in their …

Abstract semilinear functional differential equations arise from many biological, chemical,
and physical systems which are characterized by both spatial and temporal variables and …

This paper gives a survey over some of the most important methods and results of nonlinear
functional analysis in ordered Banach spaces. By means of iterative techniques and by …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

Bifurcation theory studies how the structure of solutions to equations changes as parameters
are varied. The nature of these changes depends both on the number of parameters and on …

Since its first appearance as a set of lecture notes published by the Courant Institute in 1974,
this book served as an introduction to various subjects in nonlinear functional analysis. The …

The study of stability aims at understanding the abrupt changes which are observed in fluid
motions as the external parameters are varied. It is a demanding study, far from full grown" …

This book is intended for mathematicians who are interested in the application of their
subject to the biological sciences and for biologsts with some mathematical training. It is also …