Adaptation to a heterogeneous patchy environment with non-local dispersion
DOI10.4171/aihpc/59zbMath1526.35028arXiv2103.09634OpenAlexW4287266409WikidataQ115277627 ScholiaQ115277627MaRDI QIDQ6075025
Alexis Léculier, Sepideh Mirrahimi
Publication date: 20 October 2023
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.09634
Hamilton-Jacobi equationsasymptotic analysisspatial heterogeneityelliptic integro-differential equationsevolutionary adaptation
Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Population dynamics (general) (92D25) Integro-partial differential equations (35R09)
Cites Work
- Unnamed Item
- Unnamed Item
- An integro-PDE model for evolution of random dispersal
- A Hamilton-Jacobi approach for a model of population structured by space and trait
- Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result
- Functional analysis, Sobolev spaces and partial differential equations
- Limit theorems for large deviations and reaction-diffusion equations
- Harnack type estimates for nonlinear elliptic systems and applications
- Existence of nontrivial steady states for populations structured with respect to space and a continuous trait
- Adaptation and migration of a population between patches
- Propagation in a fractional reaction-diffusion equation in a periodically hostile environment
- Super-linear spreading in local and non-local cane toads equations
- Invasion and adaptive evolution for individual-based spatially structured populations
- The dynamics of adaptation: An illuminating example and a Hamilton--Jacobi approach
- Propagation in a non local reaction diffusion equation with spatial and genetic trait structure
- Travelling waves for the cane toads equation with bounded traits
- The Effect of Climate Shift on a Species Submitted to Dispersion, Evolution, Growth, and Nonlocal Competition
- Dirac concentrations in Lotka-Volterra parabolic PDEs
- A Hamilton–Jacobi approach to characterize the evolutionary equilibria in heterogeneous environments
- Rare Mutations Limit of a Steady State Dispersal Evolution Model
- The perturbed test function method for viscosity solutions of nonlinear PDE
- On a model of a population with variable motility
- The Bramson logarithmic delay in the cane toads equations
- Travelling Waves in a Nonlocal Reaction-Diffusion Equation as a Model for a Population Structured by a Space Variable and a Phenotypic Trait
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