We have analyzed the evolution of a quantitative trait in populations that are spatially
extended along an environmental gradient, with gene flow between nearby locations. In the …

Although dispersal is recognized as a key issue in several fields of population biology (such
as behavioral ecology, population genetics, metapopulation dynamics or evolutionary …

We study evolution driven by spatial heterogeneity in a stochastic model of source-sink
ecologies. A sink is a habitat where mortality exceeds reproduction so that a local population …

We consider a system of interacting Fisher-Wright diffusions with seed-bank. Individuals live
in colonies and are subject to resampling and migration as long as they are active. Each …

It is widely recognised that the response of a population to environmental change will be
determined by the eco-evolutionary dynamics of dispersal. Here, modelling the evolution of …

The paper studies the spatial distribution of individuals competing for a continuously
distributed resource in one-dimensional space. An individual diffuses randomly, and is …

An evolutionary birth–death process is proposed as a model of evolutionary dynamics.
Agents residing in a continuous spatial environment X, play a game G, with a continuous …

We model the interactions of two theoretical populations which are allowed to move at
random throughout a bounded habitat via systems of two weakly coupled reaction-diffusion …

Most of the fundamental elements of ecology, ranging from individual behavior to species
abundance, diversity, and population dynamics, exhibit spatial variation. Partial differential …

Mathematical models of spatial population dynamics typically focus on the interplay between
dispersal events and birth/death processes. However, for many animal communities …