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 …
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 …
potentially leading to high economic and environmental costs. In this work, we study through …
Evolution of conditional dispersal: evolutionarily stable strategies in spatial models
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 …
population dynamics but different dispersal strategies. Both species disperse by a …
Pattern formation in a three-species cyclic competition model
In nature, different species compete among themselves for common resources and
favorable habitat. Therefore, it becomes really important to determine the key factors in …
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 …
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 …
population dynamics via reaction–advection–diffusion models. We address the question of …
Evolution of dispersal in spatial population models with multiple timescales
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 …
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
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 …
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
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 …
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 …
selection, mutation, and migration. We study the interplay among these different evolutionary …