D. G. Aronson and H. F. Weinberger, Multidimensional nonlinear diffusions arising in population genetics, Adv. Math, vol.30, pp.33-76, 1978.

H. Berestycki, A. Coulon, J. Roquejoffre, and L. Rossi, The effect of a line with non-local diffusion on Fisher-KPP propagation, Math. Models Meth. Appl. Sci, vol.25, pp.2519-2562, 2015.

H. Berestycki, L. A. Caffarelli, and L. Nirenberg, Uniform estimates for the regularization of free boundary problems, Analysis and Partial Differential Equations, vol.122, pp.567-619, 1990.

H. Berestycki, A. Coulon, J. Roquejoffre, and L. Rossi, Speed-up of reaction fronts by a line of fast diffusion, Séminaire Laurent Schwartz, Equations aux Dérivés Partielles et Applications, 2013.

H. Berestycki, R. Ducasse, and L. Rossi, Generalized principal eigenvalues for heterogeneous road-field systems, Comm. Contemp. Math
URL : https://hal.archives-ouvertes.fr/hal-01908593

H. Berestycki, F. Hamel, and L. Roques, Analysis of the periodically fragmented environment model : I -Species persistence, J. Math. Biol, vol.51, pp.75-113, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00003742

H. Berestycki, J. Roquejoffre, and L. Rossi, The influence of a line with fast diffusion on Fisher-KPP propagation, J. Math. Biol, vol.66, issue.4-5, pp.743-766, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00961425

X. Cabre and J. Roquejoffre, The influence of fractional diffusion on front propagation in Fisher-KPP equations, Comm. Math. Phys, vol.320, pp.679-722, 2013.

X. Cabre, A. Coulon, and J. Roquejoffre, Propagation in Fisher-KPP type equations with fractional laplacian in periodic media, C.R. Acad. Sci, pp.885-890, 2012.

A. Chalmin, Fast propagation in reaction-diffusion equations with fractional diffusion, 2014.

R. A. Fisher, The advance of advantageous genes, Ann. Eugenics, vol.7, pp.335-369, 1937.

C. Henderson, Propagation of solutions to the Fisher-KPP equation with slowly decaying initial data, Nonlinearity, vol.29, pp.3215-3240, 2016.

F. Hamel and L. Roques, Fast propagation for KPP equations with slowly decaying initial conditions, J. Differential Equations, vol.249, pp.1726-1745, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00396293

A. N. Kolmogorov, I. G. Petrovskii, and N. S. Piskunov, Etude de l'équation de diffusion avec accroissement de la quantité de matière, et son application à un problème biologique, Bjul. Moskowskogo Gos. Univ, vol.17, pp.1-26, 1937.

V. Kolokoltsov, Symmetric stable laws and stable-like jump-diffusions, Proc. London Math. Soc, vol.80, pp.725-768, 2000.

J. Roquejoffre and A. Tarfulea, Gradient estimates and symmetrization for Fisher-KPP front propagation with fractional diffusion, J. Maths Pures Appl, vol.108, pp.399-424, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01978593