References
- Chow SN. Lattice dynamical systems. In: Macki JW, Zecca P, editors. Dynamical Systems, In: Lecture Notes in Math., Vol. 1822. Berlin: Springer; 2003. p. 1–102.
- Fife PC. Mathematical aspects of reacting and diffusing systems. In: Lecture Notes in Biomath., Vol. 28. Springer-Verlag; 1979.
- Guo JS, Wu CH. Traveling wave front for a two-component lattice dynamical system arising in competition models. J Differ Equ. 2012;252:4357–4391.
- Mallet Paret J. Traveling waves in spatially discrete dynamical systems of diffusive type. In: Macki JW, Zecca P, editors, Dynamical Systems, In: Lecture Notes in Math., Vol. 1822, Berlin: Springer; 2003, p. 231–298.
- Shorrocks B, Swingland IR. Living in a patch environment. New York: Oxford University Press; 1990.
- Léo G. The effect of random dispersal on competitive exclusion – a review. Math Biosci. 2019;318. Article ID: 108271.
- Ma M, Huang Z, Ou C. Speed of the traveling wave for the bistable Lotka–Volterra competition model. Nonlinearity. 2019;32:3143–3162.
- Ma M, Yue J, Huang Z, et al. Propagation dynamics of bistable traveling wave to a time-periodic Lotka–Volterra competition model: effect of seasonality. J Dyn Differ Equ. 2022;1–23. DOI:10.1007/s10884-022-10129-2
- Wang H, Ou C. Propagation direction of the traveling wave for the Lotka–Volterra competitive lattice system. J Dyn Differ Equ. 2021;33:1153–1174.
- Wang H, Ou C. Propagation speed of the bistable traveling wave to the Lotka–Volterra competition system in a periodic habitat. J Nonlinear Sci. 2020;30:3129–3159.
- Guo JS, Lin YC. The sign of the wave speed for the Lotka–Volterra competition-diffusion system. Commun Pure Appl Anal. 2013;12:2083–2090.
- Guo JS, Nakamura KT. The sign of traveling wave speed in bistable dynamics. Discret Contin Dyn Syst. 2020;40:3451–3466.
- Tsai JC, Weng YY. Propagation direction of traveling waves for a class of bistable epidemic models. J Math Biol. 2020;81:1465–1493.
- Léo G, Grégoire N. Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. Eur J Appl Math. 2015;26:521–534.
- Ma M, Ou C. Bistable wave-speed for monotone semiflows with applications. J Differ Equ. 2022;323:253–279.
- Guo JS, Wu CH. Wave propagation for a two-component lattice dynamical system arising in strong competition models. J Differ Equ. 2011;250:3504–3533.
- Ma M, Yue Y, Ou C. Bistable wave speed of a Lotka–Volterra system with nonlocal dispersal (in Chinese). Sci Sin Math. 2022;52:381–396.
- Ding WW, Liang X. Sign of the pulsating wave speed for the bistable competition-diffusion system in a periodic habitat. Math Ann. 2022;1–36. DOI:10.1007/s00208-022-02372-1
- Léo G. Competition in periodic media: I – Existence of pulsating fronts. Discrete Contin Dyn B. 2017;22:1341–1360.
- Alhasanat A, Ou C. Minimal-speed selection of traveling waves to the Lotka–Volterra competition model. J Differ Equ. 2019;266:7357–7378.
- Alhasanat A, Ou C. On a conjecture raised by Yuzo Hosono. J Dyn Differ Equ. 2019;31:287–304.
- Hosono Y. The minimal speed of traveling fronts for diffusive Lotka–Volterra competition model. Bull Math Biol. 1998;60:435–448.
- Huang W. Problem on minimum wave speed for a Lotka–Volterra reaction diffusion competition model. J Dyn Differ Equ. 2010;22:285–297.
- Huang W, Han M. Non-linear determinacy of minimum wave speed for Lotka–Volterra competition mode. J Differ Equ. 2011;251:1549–1561.
- Huang Z, Ou C. Speed determinacy of traveling waves to a stream-population model with Allee effect. SIAM J Appl Math. 2020;80:1820–1840.
- Liu X, Ouyang Z, Huang Z, et al. Spreading speed of the periodic Lotka–Volterra competition model. J Differ Equ. 2021;275:533–553.
- Pan C, Wang H, Ou C. Invasive speed for a competition–diffusion system with three species. Discrete Contin Dyn Syst Ser B. 2022;27:3515–3532.
- Weinberger H. On sufficient conditions for a linearly determinate spreading speed. Discrete Contin Dyn Syst Ser B. 2002;17:2267–2280.
- Weinberger H, Lewis MA, Li B. Analysis of linear determinacy for spread in cooperative models. J Math Biol. 2002;45:183–218.
- Bao XX, Wang ZC. Existence and stability of time periodic traveling waves for a periodic bistable Lotka–Volterra competition system. J Differ Equ. 2013;255:2402–2435.
- Wu CC. Existence of traveling wavefront for discrete bistable competition model. Discrete Contin Dyn Syst Ser B. 2011;16:973–984.
- Fang J, Zhao XQ. Bistable traveling waves for monotone semiflows with applications. J Eur Math Soc. 2015;17:2243–2288.