The theory of reaction–diffusion waves begins in the 1930s with the works in population
dynamics, combustion theory and chemical kinetics. At the present time, it is a well …

Pioneer naturalists such as Whewell, Lyell, Humboldt, Darwin and Wallace acknowledged
the interactions between ecological and evolutionary forces, as well as the roles of …

This book presents models written as partial differential equations and originating from
various questions in population biology, such as physiologically structured equations …

If we had to formulate in one sentence what this book is about, it might be “How partial
differential equations can help to understand heat explosion, tumor growth or evolution of …

Spatial self‐structuring has been a focus of recent interest among evolutionary ecologists.
We review recent developments in the study of the interplay between spatial self‐structuring …

Evolutionary biology and ecology have a strong theoretical underpinning, and this has
fostered a variety of modeling approaches. A major challenge of this theoretical work has …

Adaptive dynamics is a mathematical framework for studying evolution. It extends
evolutionary game theory to account for more realistic ecological dynamics and it can …

Most evolutionary thinking is based on the notion of fitness and related ideas such as fitness
landscapes and evolutionary optima. Nevertheless, it is often unclear what fitness actually is …

Stochastic processes and stochastic calculus have been used extensively for data analysis
in a wide range of scientific disciplines. They provide fundamental tools for the construction …

We study a reaction-diffusion equation with an integral term describing nonlocal
consumption of resources in population dynamics. We show that a homogeneous …