References
- Murray J. Mathematical Biology. 2nd corrected ed. New York: Springer-Verlag; 1993.
- Wu J, Zou X. Traveling wave fronts of reaction-diffusion systems with delay. J Dynam Differ Equ. 2001;13:651–687. J. Dynam. Differ. Equ. 2008; 20:531–533 (Erratum). doi: 10.1023/A:1016690424892
- Kanel YaI. Existence of a travelling wave solution of the Belousov–Zhabotinskii system. Diifer Uravn. 1990;26:652–660.
- Kapel AYa. Existence of travelling-wave type solutions for the Belousov–Zhabotinskii system equations. Sibirsk Math Zh. 1991;32:47–59.
- Troy WC. The existence of travelling wavefront solutions of amodel of the Belousov–Zhabotinskii reaction. J Differ Equ. 1980;36:89–98. doi: 10.1016/0022-0396(80)90078-9
- Ye Q, Wang M. Travelling wavefront solutions of Noyes-field system for Belousov–Zhabotinskii reaction. Nonlinear Anal. 1987;11:1289–1302. doi: 10.1016/0362-546X(87)90046-0
- Ma S. Traveling waves for non-local delayed diffusion equation via auxiliary equations. J Differ Equ. 2007;237:259–277. doi: 10.1016/j.jde.2007.03.014
- Lin G, Li W-T. Travelling wavefronts of Belousov–Zhabotinskii system with diffusion and delay. Appl Math Lett. 2009;22:341–346. doi: 10.1016/j.aml.2008.04.006
- Lv G, Wang M. Traveling wave front in diffusive and competitive Lotka–Volterra systems. Nonlinear Anal RWA. 2010;11:1323–1329. doi: 10.1016/j.nonrwa.2009.02.020
- Pan S, Liu J. Minimal wave speed of traveling wavefronts in delayed Belousov–Zhabotinskii model. Electron J Qual Theor. 2012;90:1–12.
- Trofimchuk E, Pinto M, Trofimchuk S. Traveling waves for a model of the Belousov–Zhabotinsky reaction. J Differ Equ. 2013;254:3690–3714. doi: 10.1016/j.jde.2013.02.005
- Trofimchuk E, Pinto M, Trofimchuk S. Traveling wavefronts for a model of the Belousov–Zhabotinskii reaction, preprint, arXiv:1103.0176v2.
- Trofimchuk E, Pinto M, Trofimchuk S. On the minimal speed of front propagation in a model of the Belousov–Zhabotinskii reaction. Discrete Contin Dyn Syst Ser B. 2014;19:1769–1781. doi: 10.3934/dcdsb.2014.19.1769
- Berestycki H, Nirenberg L. Travelling fronts in cylinders. Ann Inst H Poincare Anal Non Lineaire. 1992;9:497–572. doi: 10.1016/S0294-1449(16)30229-3
- Chen X, Guo JS. Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics. Math Ann. 2003;322:123–146. doi: 10.1007/s00208-003-0414-0
- Murray J. On traveling wave solutions in a model for Belousov–Zhabotinskii reaction. J Theoret Biol. 1976;56:329–353. doi: 10.1016/S0022-5193(76)80078-1
- Gomez A, Trofimchuk S. Monotone traveling wavefronts of the KPP-Fisher delayed equation. J Differ Equ. 2011;250:1767–1787. doi: 10.1016/j.jde.2010.11.011
- Trofimchuk E, Tkachenko V, Trofimchuk S. Slowly oscillating wave solutions of a single species reaction diffusion equation with delay. J Differ Equ. 2008;245:2307–2332. doi: 10.1016/j.jde.2008.06.023
- Guo J-S, Wu C-H. Traveling wave front for a two-component lattice dynamical system arising in competition models. J Differ Equ. 2012;252:4357–4391. doi: 10.1016/j.jde.2012.01.009
- Hsu C-H, Yang T-S. Existence, uniqueness, monotonicity and asymptotic behaviour of travelling waves for epidemic models. Nonlinearity. 2013;26:121–139. Corrigendum: Existence, uniqueness, monotonicity and asymptotic behaviour of travelling waves for epidemic models, Nonlinearity 2013; 26:2925–2928. doi: 10.1088/0951-7715/26/1/121
- Li K, Li X. Traveling wave solutions in a delayed diffusive competition system. Nonlinear Anal. 2012;75:3705–3722. doi: 10.1016/j.na.2012.01.024
- Aguerrea M, Gomez C, Trofimchuk S. On uniqueness of semi-wavefronts (Diekmann–Kaper theory of a nonlinear convolution equation re-visited). Math Ann. 2012;354:73–109. doi: 10.1007/s00208-011-0722-8
- Carr J, Chmaj A. Uniqueness of travelling waves for nonlocal monostable equations. Proc Amer Math Soc. 2004;132:2433–2439. doi: 10.1090/S0002-9939-04-07432-5
- Mallet-Paret J. The Fredholm alternative for functional differential equations of mixed type. J Dynam Differ Equ. 1999;11:1–48. doi: 10.1023/A:1021889401235