Evolutionary game theory and the adaptive dynamics approach have made invaluable
contributions to understanding how gradual evolution leads to adaptation when individuals …

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 …

Robustness of coexistence against changes of parameters is investigated in a model-
independent manner by analyzing the feedback loop of population regulation. We define …

How do mutation and gene flow influence population persistence, niche expansion and
local adaptation in spatially heterogeneous environments? In this article, we analyse a …

Nonlocal Lotka–Volterra models have the property that solutions concentrate as Dirac
masses in the limit of small diffusion. Is it possible to describe the dynamics of the limiting …

We consider parabolic partial differential equations of Lotka-Volterra type, with a non-local
nonlinear term. This models, at the population level, the darwinian evolution of a population; …

Question: Population ecology and population genetics are treated separately in most
textbooks. However, Darwin's term the 'struggle for existence'included both natural selection …

We study two equations of Lotka-Volterra type that describe the Darwinian evolution of a
population density. In the first model a Laplace term represents the mutations. In the second …

We develop a systematic toolbox for analyzing the adaptive dynamics of multidimensional
traits in physiologically structured population models with point equilibria (sensu Dieckmann …

Our ability to predict the outcome of invasion declines rapidly as non-native species
progress through intertwined ecological barriers to establish and spread in recipient …