Self‐structuring in spatial evolutionary ecology

S Lion, M Baalen - Ecology letters, 2008 - Wiley Online Library
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 …

Hamilton's rule

M van Veelen, B Allen, M Hoffman, B Simon… - Journal of Theoretical …, 2017 - Elsevier
This paper reviews and addresses a variety of issues relating to inclusive fitness. The main
question is: are there limits to the generality of inclusive fitness, and if so, what are the …

Exponential convergence to quasi-stationary distribution and -process

N Champagnat, D Villemonais - Probability Theory and Related Fields, 2016 - Springer
For general, almost surely absorbed Markov processes, we obtain necessary and sufficient
conditions for exponential convergence to a unique quasi-stationary distribution in the total …

Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration

E Bouin, V Calvez, N Meunier, S Mirrahimi… - Comptes Rendus …, 2012 - numdam.org
Dans un second temps, nous considérons un espace des traits non borné, Θ=+∞. Dans ce
cas le front accélère sans cesse et nous montrons heuristiquement que la loi de propagation …

Local adaptation, dispersal evolution, and the spatial eco‐evolutionary dynamics of invasion

M Andrade‐Restrepo, N Champagnat… - Ecology letters, 2019 - Wiley Online Library
Local adaptation and dispersal evolution are key evolutionary processes shaping the
invasion dynamics of populations colonizing new environments. Yet their interaction is …

The effect of climate shift on a species submitted to dispersion, evolution, growth, and nonlocal competition

M Alfaro, H Berestycki, G Raoul - SIAM Journal on Mathematical Analysis, 2017 - SIAM
We consider a population structured by a space variable and a phenotypical trait, submitted
to dispersion, mutations, growth, and nonlocal competition. We introduce the climate shift …

Travelling waves in a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypic trait

M Alfaro, J Coville, G Raoul - Communications in Partial Differential …, 2013 - Taylor & Francis
We consider a nonlocal reaction-diffusion equation as a model for a population structured by
a space variable and a phenotypic trait. To sustain the possibility of invasion in the case …

Travelling waves for the cane toads equation with bounded traits

E Bouin, V Calvez - Nonlinearity, 2014 - iopscience.iop.org
In this paper, we study propagation in a non-local reaction–diffusion–mutation model
describing the invasion of cane toads in Australia (Phillips et al 2006 Nature 439 803). The …

Super-linear spreading in local and non-local cane toads equations

E Bouin, C Henderson, L Ryzhik - Journal de mathématiques Pures et …, 2017 - Elsevier
In this paper, we show super-linear propagation in a nonlocal reaction–diffusion–mutation
equation modeling the invasion of cane toads in Australia that has attracted attention …

Modèles aléatoires en Ecologie et Evolution

S Méléard - 2016 - Springer
After years, I have deeply regretted that I did not proceed far enough at least to understand
something of the great leading principles of mathematics: for men thus endowed seem to …