H. Berestycki, A. Coulon, J. Roquejoffre, and L. Rossi, The effect of a line with nonlocal diffusion on Fisher-KPP propagation, Mathematical Models and Methods in Applied Sciences, vol.25, issue.13, pp.2519-2562, 2015.
DOI : 10.1142/S0218202515400175

H. Berestycki, A. Coulon, J. Roquejoffre, and L. Rossi, Speed-up of reaction-diffusion fronts by a line of fast diffusion, Séminaire Laurent Schwartz EDP et applications, pp.2013-2014, 2013.
DOI : 10.5802/slsedp.62

H. Berestycki and F. Hamel, Reaction-diffusion equations and propagation phenomena, Applied Mathematical Sciences, vol.600, 2017.

H. Berestycki, J. Roquejoffre, and L. Rossi, The influence of a line with fast diffusion on Fisher-KPP propagation, Journal of Mathematical Biology, vol.45, issue.4-5, pp.4-5, 2013.
DOI : 10.1007/s00285-012-0604-z

URL : https://hal.archives-ouvertes.fr/hal-00961425

H. Berestycki, J. Roquejoffre, and L. Rossi, Fisher???KPP propagation in the presence of a line: further effects, Nonlinearity, vol.26, issue.9, pp.26-2623, 2013.
DOI : 10.1088/0951-7715/26/9/2623

URL : https://hal.archives-ouvertes.fr/hal-00961495

H. Berestycki, J. Roquejoffre, and L. Rossi, The Shape of Expansion Induced by a Line with Fast Diffusion in Fisher-KPP Equations, Communications in Mathematical Physics, vol.45, issue.6, 2016.
DOI : 10.1007/s00220-015-2517-3

H. Berestycki, J. Roquejoffre, and L. Rossi, Travelling waves, spreading and extinction for Fisher???KPP propagation driven by a line with fast diffusion, Nonlinear Analysis: Theory, Methods & Applications, vol.137
DOI : 10.1016/j.na.2016.01.023

L. Dietrich, Existence of travelling waves for a reactiondiffusion system with a line of fast diffusion, Appl. Math. Res. Express. AMRX, vol.2015, issue.2, 204252.
URL : https://hal.archives-ouvertes.fr/hal-01137481

L. Dietrich, Velocity enhancement of reaction-diffusion fronts by a line of fast diffusion Trans

L. Girardin and G. Nadin, Travelling waves for diffusive and strongly competitive systems: Relative motility and invasion speed, European Journal of Applied Mathematics, vol.1, issue.04, pp.521-534, 2015.
DOI : 10.1016/j.jde.2011.05.012

URL : https://hal.archives-ouvertes.fr/hal-01135087

L. F. Jaffe, A proton-led model of fast calcium waves, Cell Calcium, vol.36, issue.1, pp.83-87, 2004.
DOI : 10.1016/j.ceca.2003.12.004

D. Lane and J. D. Murray, Analysis of Wave Phenomena in a Morphogenetic Mechanochemical Model and an Application to Post-fertilization Waves on Eggs, Mathematical Medicine and Biology, vol.4, issue.4, pp.309-331, 1987.
DOI : 10.1093/imammb/4.4.309

H. Levine and W. Rappel, Membrane-bound Turing patterns, Physical Review E, vol.72, issue.6, p.619122, 2005.
DOI : 10.1103/PhysRevE.72.061912

A. Pauthier, Two examples of reaction-diffusion front propagation in heterogeneous media
URL : https://hal.archives-ouvertes.fr/tel-01405723

A. Pauthier, The influence of nonlocal exchange terms on Fisher???KPP propagation driven by a line of fast diffusion, Communications in Mathematical Sciences, vol.14, issue.2, pp.535-570, 2016.
DOI : 10.4310/CMS.2016.v14.n2.a10

A. Pauthier, Uniform dynamics for Fisher-KPP propagation driven by a line of fast diffusion under a singular limit, Nonlinearity, vol.28, issue.11, pp.3891-3920, 2015.
DOI : 10.1088/0951-7715/28/11/3891