Asymptotic analysis of a selection model with space
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Publication:890423
DOI10.1016/j.matpur.2015.07.006zbMath1327.35011arXiv1407.5870OpenAlexW1578550824WikidataQ60502716 ScholiaQ60502716MaRDI QIDQ890423
Sepideh Mirrahimi, Perthame, Benoît
Publication date: 10 November 2015
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.5870
Problems related to evolution (92D15) Singular perturbations in context of PDEs (35B25) Medical applications (general) (92C50) Asymptotics of solutions to integral equations (45M05) Hamilton-Jacobi equations (35F21)
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Cites Work
- Dynamics of sexual populations structured by a space variable and a phenotypical trait
- Evolution of species trait through resource competition
- Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration
- A Hamilton-Jacobi approach for a model of population structured by space and trait
- On selection dynamics for continuous structured populations
- Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result
- Existence of nontrivial steady states for populations structured with respect to space and a continuous trait
- Uniqueness in a class of Hamilton-Jacobi equations with constraints
- Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors
- Adaptation in a stochastic multi-resources chemostat model
- Invasion and adaptive evolution for individual-based spatially structured populations
- Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models
- The dynamics of adaptation: An illuminating example and a Hamilton--Jacobi approach
- Travelling waves for the cane toads equation with bounded traits
- Dirac Mass Dynamics in Multidimensional Nonlocal Parabolic Equations
- Dirac concentrations in Lotka-Volterra parabolic PDEs
- On a model of a population with variable motility
- 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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