Invasion and adaptive evolution for individual-based spatially structured populations

N Champagnat, S Méléard - Journal of Mathematical Biology, 2007 - Springer
The interplay between space and evolution is an important issue in population dynamics,
that is particularly crucial in the emergence of polymorphism and spatial patterns. Recently …

Allee effects and population spread in patchy landscapes

GA Maciel, F Lutscher - Journal of Biological Dynamics, 2015 - Taylor & Francis
Invasion of alien species is one of the major threats for natural community structures,
potentially leading to high economic and environmental costs. In this work, we study through …

Evolution of conditional dispersal: evolutionarily stable strategies in spatial models

KY Lam, Y Lou - Journal of mathematical biology, 2014 - Springer
We consider a two-species competition model in which the species have the same
population dynamics but different dispersal strategies. Both species disperse by a …

Pattern formation in a three-species cyclic competition model

K Manna, V Volpert, M Banerjee - Bulletin of Mathematical Biology, 2021 - Springer
In nature, different species compete among themselves for common resources and
favorable habitat. Therefore, it becomes really important to determine the key factors in …

Adaptive dynamics for physiologically structured population models

M Durinx, JAJ Metz, G Meszéna - Journal of mathematical biology, 2008 - Springer
We develop a systematic toolbox for analyzing the adaptive dynamics of multidimensional
traits in physiologically structured population models with point equilibria (sensu Dieckmann …

Some challenging mathematical problems in evolution of dispersal and population dynamics

Y Lou - Tutorials in mathematical biosciences IV: evolution and …, 2008 - Springer
We discuss the effects of dispersal (either random or biased) and spatial heterogeneity on
population dynamics via reaction–advection–diffusion models. We address the question of …

Evolution of dispersal in spatial population models with multiple timescales

RS Cantrell, C Cosner, MA Lewis, Y Lou - Journal of mathematical biology, 2020 - Springer
We study the evolutionary stability of dispersal strategies, including but not limited to those
that can produce ideal free population distributions (that is, distributions where all …

Influence of a spatial structure on the long time behavior of a competitive Lotka-Volterra type system

H Leman, S Méléard, S Mirrahimi - arXiv preprint arXiv:1401.1182, 2014 - arxiv.org
To describe population dynamics, it is crucial to take into account jointly evolution
mechanisms and spatial motion. However, the models which include these both aspects, are …

A non-local cross-diffusion model of population dynamics I: emergent spatial and spatiotemporal patterns

NP Taylor, H Kim, AL Krause… - Bulletin of Mathematical …, 2020 - Springer
We extend a spatially non-local cross-diffusion model of aggregation between multiple
species with directed motion toward resource gradients to include many species and more …

Evolution of specialization in heterogeneous environments: equilibrium between selection, mutation and migration

S Mirrahimi, S Gandon - Genetics, 2020 - academic.oup.com
Adaptation in spatially heterogeneous environments results from the balance between local
selection, mutation, and migration. We study the interplay among these different evolutionary …