Abstract
Time delays and non-local nonlinearities are an important aspect of many biological and ecological systems. Not only are they highly relevant from an accurate modelling point of view, but their consequences can be extensive, including the introduction of new dynamics. In this thesis we consider simple models to derive generic results, concerned with novel aspects of delays and spatial effects. In addition we consider some specific models, in an attempt to make any existing non-local effects more relevant to the original problem. Since in many cases these are initial enquiries considering the possible dynamics of a system, we predominantly concern ourselves with the stability of, and solutions bifurcating from, (uniform) equilibria.