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math.AP2021
On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals
Matthieu Alfaro, Thomas Giletti, Yong-Jung Kim +2
We develop general heterogeneous nonlocal diffusion models and investigate their connection to local diffusion models by taking a singular limit of focusing kernels. We reveal the…
math.AP2021★ 1 cited
Populations facing a nonlinear environmental gradient: steady states and pulsating fronts
Matthieu Alfaro, Gwenaël Peltier
We consider a population structured by a spacevariable and a phenotypical trait, submitted to dispersion,mutations, growth and nonlocal competition. This population is facing an {\…
math.AP2019
Accelerating invasions along an environmental gradient
Gwenaël Peltier
We consider a population structured by a space variable and a phenotypical trait, submitted to dispersion, mutations, growth and nonlocal competition. This population is facing an…