References
- Belousov BP. A periodic reaction and its mechanism. In: Reference handbook on radiation medicine after 1958 [in Russian], Moscow: Medgiz; 1959. p. 145–147.
- Murray J. On a model for temporal oscillations in the Belousov–Zhabotinskii reaction. J Chem Phys. 1974;61:3611–3613.
- Murray J. On traveling wave solutions in a model for Belousov–Zhabotinskii reaction. J Theoret Biol. 1976;56:329–353.
- Murray J. Mathematical biology. 2nd corrected ed. New York: Springer-Verlag; 1993.
- Zaikin AN, Zhabotinskii AM. Concentration wave propagation in two dimensional liquid phase self oscillation system. Nature. 1970;225:535–537.
- Zhabotinskii AM. Concentration autooscillations. Moscow: Nauka; 1974.
- Huang W. A geometric approach in the study of traveling waves for some classes of non-monotone reaction-diffusion systems. J Differ Equat. 2016;260:2190–2224.
- Niu H-L, Wang Z-C, Bu Z-H. Curved fronts in the Belousov–Zhabotinskii reaction-diffusion systems in R2. J Differ Equat. 2018;264:5758–5801.
- Wu J, Zou X. Traveling wave fronts of reaction-diffusion systems with delay. J Dyn Differ Equat. 2001;13:651–687. J Dyn Differ Equat. 2008;20:531–533. (Erratum).
- Ma S. Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem. J Differ Equat. 2001;171:294–314.
- Lin G, Li W-T. Travelling wavefronts of Belousov–Zhabotinskii system with diffusion and delay. Appl Math Lett. 2009;22:341–346.
- Lv G, Wang M. Traveling wave front in diffusive and competitive Lotka–Volterra systems. Nonlinear Anal RWA. 2010;11:1323–1329.
- Pan S, Liu J. Minimal wave speed of traveling wavefronts in delayed Belousov–Zhabotinskii model. Electron J Qual Theo. 2012;90:1–12.
- Trofimchuk E, Pinto M, Trofimchuk S. Traveling waves for a model of the Belousov–Zhabotinsky reaction. J Differ Equat. 2013;254:3690–3714.
- 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.
- Meng YL, Zhang WG, Yu ZX. Stability of traveling wave fronts for delayed Belousov–Zhabotinskii models with spatial diffusion. Appl Anal. 2020;99:922–941.
- Zhang G-B. Asymptotics and uniqueness of traveling wavefronts for a delayed model of the Belousov–Zhabotinsky reaction. Appl Anal. 2020;99:1639–1660.
- Kanel YI. Existence of a travelling wave solution of the Belousov–Zhabotinskii system. Diifer Uravn. 1990;26:652–660.
- Kapel AY. 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 Equat. 1980;36:89–98.
- Ye Q, Wang M. Travelling wavefront solutions of Noyes-field system for Belousov–Zhabotinskii reaction. Nonlinear Anal. 1987;11:1289–1302.
- Du ZJ, Qiao Q. The dynamics of traveling waves for a nonlinear Belousov–Zhabotinskii system. J Differ Equat. 2020;269:7214–7230.
- Chang C-H, Hsu C-H, Yang T-S. Traveling wavefronts for a Lotka–Volterra competition model with partially nonlocal interactions. Z Angew Math Phys. 2020;71:70.
- Chen X. Existence, uniqueness and asymptotic stability of traveling waves in non-local evolution equations. Adv Differ Equat. 1997;2:125–160.
- Chen X, Guo J-S. Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations. J Differ Equat. 2002;184:549–569.
- Mei M, Lin C-K, Lin C-T, et al. Traveling wavefronts for time-delayed reaction-diffusion equation: (I) local nonlinearity. J Differ Equat. 2009;247:495–510.
- Mei M, Lin C-K, Lin C-T, et al. Traveling wavefronts for time-delayed reaction-diffusion equation: (II) nonlocal nonlinearity. J Differ Equat. 2009;247:511–529.
- Mei M, Ou C-H, Zhao X-Q. Global stability of monostable traveling waves for nonlocal time-delayed reaction-diffusion equations. SIAM J Math Anal. 2010;42:2762–2790.
- Smith HL, Zhao X-Q. Global asymptotical stability of traveling waves in delayed reaction-diffusion equations. SIAM J Math Anal. 2000;31:514–534.
- Lv G, Wang M. Nonlinear stability of traveling wave fronts for delayed reaction diffusion equations. Nonlinearity. 2010;13:845–873.
- Tian G, Zhang G-B. Stability of traveling wavefronts for a discrete diffusive Lotka–Volterra competition system. J Math Anal Appl. 2017;447:222–242.
- Yu ZX, Xu F, Zhang WG. Stability of invasion traveling waves for a competition system with nonlocal dispersals. Appl Anal. 2017;96:1107–1125.
- Zhang G-B. Global stability of non-monotone traveling wave solutions for a nonlocal dispersal equation with time delay. J Math Anal Appl. 2019;475:605–627.
- Zhao X-Q, Xiao DM. The asymptotic speed of spread and traveling waves for a vector disease model. J Dyn Differ Equat. 2006;18:1001–1019.
- Martin R, Smith H. Abstract functional differential equations and reaction-diffusion systems. Trans Amer Math Soc. 1990;321:1–44.