Matthieu Alfaro

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zbMath Open alfaro.matthieuMaRDI QIDQ316953

List of research outcomes

PublicationDate of PublicationType
Finite Volume Scheme for the Diffusive Field-Road Model: Study of the Long Time Behaviour2023-12-22Paper
Adaptation in a heterogeneous environment. II: To be three or not to be2023-10-26Paper
The Allen-Cahn equation with nonlinear truncated Laplacians: description of radial solutions2023-10-11Paper
Long time behavior of the field-road diffusion model: an entropy method and a finite volume scheme2023-09-28Paper
Confining integro-differential equations originating from evolutionary biology: ground states and long time dynamics2023-08-16Paper
Quantifying the Threshold Phenomenon for Propagation in Nonlocal Diffusion Equations2023-06-20Paper
The field-road diffusion model: fundamental solution and asymptotic behavior2023-06-12Paper
Lotka–Volterra competition-diffusion system: the critical competition case2023-05-08Paper
Propagation or extinction in bistable equations: the non-monotone role of initial fragmentation2023-04-03Paper
Blow-up phenomena for positive solutions of semilinear diffusion equations in a half-space: the influence of the dispersion kernel2022-12-13Paper
On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals2022-05-05Paper
Populations facing a nonlinear environmental gradient: Steady states and pulsating fronts2022-04-07Paper
The spatio-temporal dynamics of interacting genetic incompatibilities. Part I: the case of stacked underdominant clines2022-03-14Paper
When fast diffusion and reactive growth both induce accelerating invasions2021-12-27Paper
When the Allee threshold is an evolutionary trait: persistence vs. extinction2021-11-16Paper
Erratum: Quantitative Estimates of the Threshold Phenomena for Propagation in Reaction-Diffusion Equations2021-07-30Paper
Interplay of nonlinear diffusion, initial tails and Allee effect on the speed of invasions2021-07-21Paper
The emergence of a birth-dependent mutation rate: causes and consequences2021-01-06Paper
Quantitative Estimates of the Threshold Phenomena for Propagation in Reaction-Diffusion Equations2020-06-23Paper
Density dependent replicator-mutator models in directed evolution2020-04-09Paper
Evolution equations involving nonlinear truncated Laplacian operators2020-03-30Paper
Evolutionary branching via replicator-mutator equations2019-11-12Paper
On a nonlocal system for vegetation in drylands2018-12-21Paper
Generation of fine transition layers and their dynamics for the stochastic Allen--Cahn equation2018-12-10Paper
Propagation phenomena in monostable integro-differential equations: acceleration or not?2018-10-02Paper
Population invasion with bistable dynamics and adaptive evolution: The evolutionary rescue2018-09-21Paper
Pulsating fronts for Fisher-KPP systems with mutations as models in evolutionary epidemiology2018-06-14Paper
Travelling waves for a non-monotone bistable equation with delay: existence and oscillations2018-05-03Paper
Superexponential growth or decay in the heat equation with a logarithmic nonlinearity2018-01-09Paper
Fujita blow up phenomena and hair trigger effect: the role of dispersal tails2017-12-08Paper
Replicator-mutator equations with quadratic fitness2017-11-08Paper
The Effect of Climate Shift on a Species Submitted to Dispersion, Evolution, Growth, and Nonlocal Competition2017-03-09Paper
Slowing Allee effect versus accelerating heavy tails in monostable reaction diffusion equations2017-03-02Paper
Varying the direction of propagation in reaction-diffusion equations in periodic media2016-09-30Paper
Asymptotic analysis of a monostable equation in periodic media2016-07-20Paper
Explicit Solutions for Replicator-Mutator Equations: Extinction versus Acceleration2015-04-17Paper
Explicit solutions in evolutionary genetics and applications2015-03-27Paper
Propagating interface in a monostable reaction-diffusion equation with time delay.2015-01-06Paper
Convergence of a mass conserving Allen-Cahn equation whose Lagrange multiplier is nonlocal and local2014-08-19Paper
Travelling Waves in a Nonlocal Reaction-Diffusion Equation as a Model for a Population Structured by a Space Variable and a Phenotypic Trait2014-02-11Paper
Bistable travelling waves for nonlocal reaction diffusion equations2013-11-11Paper
Sharp interface limit of the Fisher-KPP equation2013-04-29Paper
Convergence rate of the Allen-Cahn equation to generalized motion by mean curvature2012-12-06Paper
Rapid traveling waves in the nonlocal Fisher equation connect two unstable states2012-10-11Paper
General Fractal Conservation Laws Arising from a Model of Detonations in Gases2012-10-10Paper
On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data2012-09-12Paper
Interface dynamics of the porous medium equation with a bistable reaction term2012-01-25Paper
Convergence to a propagating front in a degenerate Fisher-KPP equation with advection2011-11-15Paper
Sharp interface limit of the Fisher-KPP equation when initial data have slow exponential decay2011-07-27Paper
Generation of Interface for an Allen-Cahn Equation with Nonlinear Diffusion2010-10-21Paper
Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen–Cahn equation2010-08-13Paper
Generation, motion and thickness of transition layers for a nonlocal Allen-Cahn equation2010-03-01Paper
The singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system2008-07-10Paper
The singular limit of a chemotaxis-growth system with general initial data2008-06-27Paper
Propagation or extinction in bistable equations: the non-monotone role of initial fragmentation0001-01-03Paper

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