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Pulsating fronts for Fisher-KPP systems with mutations as models in evolutionary epidemiology

 Matthieu Alfaro , Quentin Griette
Nonlinear Analysis: Real World Applications, 2018, 42, pp.255-289. ⟨10.1016/j.nonrwa.2018.01.004⟩
Article dans une revue hal-01341882v1
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On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals

 Matthieu Alfaro , Thomas Giletti , Yong-Jung Kim , Gwenaël Peltier , Hyowon Seo
Journal of Mathematical Biology, 2022, 84, pp.38. ⟨10.1007/s00285-022-01738-y⟩
Article dans une revue hal-03186037v1
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THE SINGULAR LIMIT OF A CHEMOTAXIS-GROWTH SYSTEM WITH GENERAL INITIAL DATA

 Matthieu Alfaro
Advances in Differential Equations, 2006, pp.Adv. Differential Equations 11 (2006), no. 11, 1227--1260
Article dans une revue hal-00373864v2
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On a nonlocal system for vegetation in drylands

 Matthieu Alfaro , Hirofumi Izuhara , Masayasu Mimura
Journal of Mathematical Biology, 2018, 77 (6-7), pp.1761-1793. ⟨10.1007/s00285-018-1215-0⟩
Article dans une revue hal-01982126v1
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Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen-Cahn equation

 Matthieu Alfaro , Harald Garcke , Danielle Hilhorst , Hiroshi Matano , Reiner Schatzle
Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2010, 140 (4), pp.673--706. ⟨10.1017/S0308210508000541⟩
Article dans une revue hal-00392029v1
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Convergence of a mass conserving Allen-Cahn equation whose Lagrange multiplier is nonlocal and local

 Matthieu Alfaro , Pierre Alifrangis
Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2014, 16 (2), pp.243-268. ⟨10.4171/IFB/319⟩
Article dans une revue hal-00800909v1
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General fractal conservation laws arising from a model of detonations in gases

 Matthieu Alfaro , Jerome Droniou
Applied Mathematics Research eXpress, 2012, 2012 (2), pp.127-151. ⟨10.1093/amrx/abr015⟩
Article dans une revue hal-00589587v1
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Superexponential growth or decay in the heat equation with a logarithmic nonlinearity

 Matthieu Alfaro , Rémi Carles
Dynamics of Partial Differential Equations, 2017, 14 (4), pp.343-358. ⟨10.4310/DPDE.2017.v14.n4.a2⟩
Article dans une revue hal-01494528v1
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When fast diffusion and reactive growth both induce accelerating invasions

 Matthieu Alfaro , Thomas Giletti
Communications on Pure and Applied Analysis, 2019, 18 (6), pp.3011-3034. ⟨10.3934/cpaa.2019135⟩
Article dans une revue hal-01874703v2
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Population invasion with bistable dynamics and adaptive evolution: the evolutionary rescue

 Matthieu Alfaro , Arnaud Ducrot
Proceedings of the American Mathematical Society, In press, 146, pp.4787-4799. ⟨10.1090/proc/14150⟩
Article dans une revue hal-01689332v1
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Long time behavior of the field-road diffusion model: an entropy method and a finite volume scheme

 Matthieu Alfaro , Claire Chainais-Hillairet
2023
Pré-publication, Document de travail hal-04217897v1
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The Allen-Cahn equation with nonlinear truncated Laplacians: description of radial solutions

 Matthieu Alfaro , Philippe Jouan
2023
Pré-publication, Document de travail hal-04236159v1

Propagation phenomena in monostable nonlocal equation : Travelling wave vs Acceleration?

 Jérôme Coville , Matthieu Alfaro
Journal of Differential Equations, 2017
Article dans une revue hal-01697084v1
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Blow-up phenomena for positive solutions of semilinear diffusion equations in a half-space: the influence of the dispersion kernel

 Matthieu Alfaro , Otared Kavian
Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2022, 31 (5), pp.1259-1286. ⟨10.5802/afst.1718⟩
Article dans une revue hal-02546678v1
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Sharp interface limit of the Fisher-KPP equation when initial data have slow exponential decay

 Matthieu Alfaro , Arnaud Ducrot
Discrete and Continuous Dynamical Systems - Series B, 2011, pp.16 (2011), 15-29. ⟨10.3934/dcdsb.2011.16.15⟩
Article dans une revue hal-00472212v1
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Varying the direction of propagation in reaction-diffusion equations in periodic media

 Matthieu Alfaro , Thomas Giletti
Networks and Heterogeneous Media, 2016, 11 (3), pp.369-393. ⟨10.3934/nhm.2016001⟩
Article dans une revue hal-01111781v1
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Confining integro-differential equations originating from evolutionary biology: ground states and long time dynamics

 Matthieu Alfaro , Pierre Gabriel , Otared Kavian
Discrete and Continuous Dynamical Systems - Series B, 2023, Special issue in memory of Masayasu Mimura, 28 (12), pp.5905--5933. ⟨10.3934/dcdsb.2022120⟩
Article dans une revue hal-03376957v2
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Travelling waves in a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait

 Matthieu Alfaro , Jérôme Coville , Gaël Raoul
Communications in Partial Differential Equations, 2013, 38 (12), pp.2126-2154. ⟨10.1080/03605302.2013.828069⟩
Article dans une revue hal-00751647v2
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Interface dynamics of the porous medium equation with a bistable reaction term

 Matthieu Alfaro , Danielle Hilhorst
Asymptotic Analysis, 2012, 76 (1), pp.35-48. ⟨10.3233/ASY-2011-1067⟩
Article dans une revue hal-00609087v1
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Populations facing a nonlinear environmental gradient: steady states and pulsating fronts

 Matthieu Alfaro , Gwenaël Peltier
Mathematical Models and Methods in Applied Sciences, 2022, 32 (2), pp.209-290. ⟨10.1142/s0218202522500063⟩
Article dans une revue hal-03115877v1
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Slowing Allee effect versus accelerating heavy tails in monostable reaction diffusion equations

 Matthieu Alfaro
Nonlinearity, 2017, 30 (2), pp.687-702. ⟨10.1088/1361-6544/aa53b9⟩
Article dans une revue hal-01149354v1
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Replicator-mutator equations with quadratic fitness

 Matthieu Alfaro , Rémi Carles
Proceedings of the American Mathematical Society, 2017, 145 (2), pp.5315-5327. ⟨10.1090/proc/13669⟩
Article dans une revue hal-01399269v1
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Convergence rate of the Allen-Cahn equation to generalized motion by mean curvature

 Matthieu Alfaro , Jérôme Droniou , Hiroshi Matano
Journal of Evolution Equations, 2012, pp.12 (2012) 267-294. ⟨10.1007/s00028-011-0132-0⟩
Article dans une revue hal-00544135v1

Lotka–Volterra competition-diffusion system: the critical competition case

 Matthieu Alfaro , Dongyuan Xiao
Communications in Partial Differential Equations, 2023, 48 (2), pp.182-208. ⟨10.1080/03605302.2023.2169936⟩
Article dans une revue hal-04160842v1
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Convection-reaction-diffusion systems and interface dynamics

 Matthieu Alfaro
Mathematics [math]. Université Paris Sud - Paris XI, 2006. English. ⟨NNT : ⟩
Thèse tel-00134258v1
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The effect of climate shift on a species submitted to dispersion, evolution, growth and nonlocal competition

 Matthieu Alfaro , Henri Berestycki , Gaël Raoul
SIAM Journal on Mathematical Analysis, 2017, 49 (1), pp.562-596. ⟨10.1137/16M1075934⟩
Article dans une revue hal-01229568v1
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Evolution equations involving nonlinear truncated Laplacian operators

 Matthieu Alfaro , Isabeau Birindelli
Discrete and Continuous Dynamical Systems - Series A, 2020, 40 (6), pp.3057-3073. ⟨10.3934/dcds.2020046⟩
Article dans une revue hal-02077996v1
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Interplay of nonlinear diffusion, initial tails and Allee effect on the speed of invasions

 Matthieu Alfaro , Thomas Giletti
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2020, XXI (Special), pp.1223-1255. ⟨10.2422/2036-2145.201711_010⟩
Article dans une revue hal-01646259v2
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The singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system

 Matthieu Alfaro , Danielle Hilhorst , Hiroshi Matano
Journal of Differential Equations, 2008, 245, pp.505-565. ⟨10.1016/j.jde.2008.01.014⟩
Article dans une revue hal-00174999v2
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On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data

 Matthieu Alfaro , Hiroshi Matano
Discrete and Continuous Dynamical Systems - Series B, 2012, 17 (6), pp.1639-1649. ⟨10.3934/dcdsb.2012.17.1639⟩
Article dans une revue hal-00641266v1
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