This paper is an introductory review of the problem of front propagation into unstable states.
Our presentation is centered around the concept of the asymptotic linear spreading velocity …

The history of research on foci caused by infectious disease, primarily polycyclic fungal
diseases of foliage in annual crops, are reviewed in 5 steps: a phenomenological phase for …

The main purpose of this book was to explain deterministic, age-structured population
dynamics models that appear in demography and epidemiology. The first part of this book …

We examine a nonreciprocally coupled dynamical model of a mixture of two diffusing
species. We demonstrate that nonreciprocity, which is encoded in the model via antagonistic …

It is shown that many of the asymptotic properties of the Fisher model for population genetics
and population ecology can also be derived for a class of models in which time is discrete …

The theory of asymptotic speeds of spread and monotone traveling waves is established for
a class of monotone discrete and continuous‐time semiflows and is applied to a functional …

Reid's paradox describes the fact that classical models cannot account for the rapid ()
spread of trees at the end of the Pleistocene. I use field estimates of seed dispersal with an …

This paper deals with the existence of traveling wave front solutions of reaction-diffusion
systems with delay. A monotone iteration scheme is established for the corresponding wave …

This study of biological invasions introduces dynamic concepts into biogeography and
spatial concepts into ecology. By using mathematical models from epidemiology and human …

A fundamental characteristic of any biological invasion is the speed at which the geographic
range of the population expands. This invasion speed is determined by both population …