References
- Jaffe LF. A proton-led model of fast calcium waves. Cell Calcium. 2004;36:83–87.
- Lane DC, Murray JD. Analysis of wave phenomena in a morphogenetic mechanochemical model and an application to post-fertilization waves on eggs. IMA J Math Appl Med Biol. 1987;4:309–331.
- Berestycki H, Roquejoffre J-M, Rossi L. The influence of a line with fast diffusion on Fisher-KPP propagation. J Math Biol. 2013;66(4–5):743–766.
- Berestycki H, Roquejoffre J-M, Rossi L. Fisher-KPP propagation in the presence of a line: further effects. Nonlinearity. 2013;26:2623–2640.
- Berestycki H, Roquejoffre J-M, Rossi L. The shape of expansion induced by a line with fast diffusion in Fisher-KPP equations. Commun Math Phys. 2016;343(1):207–232.
- Berestycki H, Roquejoffre J-M, Rossi L. Travelling waves, spreading and extinction for Fisher-KPP propagation driven by a line with fast diffusion. Nonlinear Anal. 2016;137:171–189.
- Dietrich L. Existence of travelling waves for a reaction-diffusion system with a line of fast diffusion. Appl Math Res Express. AMRX. 2015;(2):204–252.
- Dietrich L. Velocity enhancement of reaction-diffusion fronts by a line of fast diffusion. Trans Am Math Soc. 2017;369:3221–3252.
- Cabrél X, Cónsu N, Mandé JV. Traveling wave solutions in a half-space for boundary reaction. ArXiv:1404.6362.
- Levine H, Rappel W-J. Membrane-bound Turing patterns. Phys Rev E. 2005;72:0619122.
- Berestycki H, Coulon A-C, Roquejoffre J-M, Rossi L. The effect of a line with non-local diffusion on Fisher-KPP propagation. Math Models Methods Appl Sci. 2015;25:2519–2562.
- Berestycki H, Coulon A-C, Roquejoffre J-M, et al. Speed-up of reaction-diffusion fronts by a line of fast diffusion. Séminaire Laurent Schwartz EDP Appl. 2013–2014;25:2013–2014. Exp. No. 19
- Pauthier A. Two examples of reaction-diffusion front propagation in heterogeneous media [PhD thesis]. University Toulouse III Paul Sabatier, 2016.
- Pauthier A. The influence of nonlocal exchange terms on Fisher-KPP propagation driven by a line of fast diffusion. Commun Math Sci. 2016;14(2):535–570.
- Pauthier A. Uniform dynamics for Fisher-KPP propagation driven by a line of fast diffusion under a singular limit. Nonlinearity. 2015;28(11):3891–3920.
- Girardin L, Nadin G. Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. Eur J Appl Math. 2015;26(4):521–534.
- Holzer Matt. A proof of anomalous invasion speeds in a system of coupled Fisher-KPP equations. Discrete Contin Dyn Syst. 2016;36(4):2069–2084.
- Berestycki H, Hamel F. Reaction-diffusion equations and propagation phenomena. Vol. 600. Applied mathematical sciences. New York (NY): Springer; 2017.
- Perthame B. Parabolic equations in biology. Lecture notes on mathematical modeling in the life sciences. Cham: Springer; 2015.
- Berestycki H, Nirenberg L. Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. J Geom Phys. 1988;5(2):237–275.
- Vega JM. On the uniqueness of multidimensional travelling fronts of some semilinear equations. J Math Anal Appl. 1993;177(2):481–490.
- FreeFEM++. Software available from: http://www.freefem.org.