[1] Bao X, Li W T, Shen W. Traveling wave solutions of Lotka-Volterra competition systems with nonlocal dispersal in periodic habitats. J Differential Equations, 2016, 260: 8590-8637
[2] Carr J, Chmaj A. Uniqueness of travelling waves for nonlocal monostable equations. Proc Amer Math Soc, 2004, 132: 2433-2439
[3] Carrère C.Spreading speeds for a two species competition-diffusion system. J Differential Equations, 2018, 264: 2133-2156
[4] Chen X, Guo J. Existence and uniqueness of entire solutions for a reaction-diffusion equation. J Differential Equations, 2005, 212: 62-84
[5] Cosner C, Lazer A. Stable coexistence states in the Volterra-Lotka competition model wirh diffusion. SIAM J Appl Math, 1984, 44: 1112-1132
[6] Coville J. On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators. J Differential Equations, 2010, 249: 2921-2953
[7] Dunbar S. Traveling wave solutions of diffusive Lotka-Volterra equations: a heteroclinic connection in $\mathbb{R}^4$. Trans Amer Math Soc, 1984, 286: 557-594
[8] Du L, Li W T, Wang J. Asymptotic behavior of traveling fronts and entire solutions for a periodic bistable competition-diffusion system. J Differential Equations, 2018, 265: 6210-6250
[9] Du L, Li W T, Wu S. Pulsating fronts and front-like entire solutions for a reaction-advection-diffusion competition model in a periodic habitat. J Differential Equations, 2019, 266: 8419-8458
[10] Ellison W, Ellison F. Prime Numbers. New York: Wiley, 1985
[11] Fang J, Yu X, Zhao X. Traveling waves and spreading speeds for time-space periodic monotone systems. J Funct Anal, 2017, 272: 4222-4262
[12] Fang J, Zhao X. Traveling waves for monotone semiflows with weak compactness. SIAM J Math Anal, 2014, 46: 3678-3704
[13] Fei N, Carr J. Existence of travelling waves with their minimal speed for a diffusing Lotka-Volterra system. Nonlinear Anal Real World Appl, 2003, 4: 503-524
[14] Fisher R. The wave of advance of advantageous genes. Ann of Eugenics, 1937, 7: 355-369
[15] Girardin L, Lam K. Invasion of open space by two competitors: spreading properties of monostable two-species competition-diffusion systems. Proc Lond Math Soc, 2019, 119: 1279-1335
[16] Gui C, Lou Y. Uniqueness and nonuniqueness of coexistence states in the Lotka-Volterra competition model. Comm Pure Appl Math, 1994, 47: 1571-1594
[17] Guo J, Morita Y. Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Discrete Contin Dyn Syst, 2005, 12: 193-212
[18] Guo J, Wu C. Entire solutions for a two-component competition system in a lattice. Tohoku Math J, 2010, 62: 17-28
[19] Guo J, Wu C. Traveling wave front for a two-component lattice dynamical system arising in competition models. J Differential Equations, 2012, 252: 4357-4391
[20] Hamel F, Nadirashvili N.Entire solution of the KPP eqution.
Comm Pure Appl Math, 1999, 52: 1255-1276
[21] Hamel F, Nadirashvili N. Travelling fronts and entire solutions of the Fisher-KPP equation in $\mathbb{R}^{N}$. Arch Rational Mech Anal, 2001, 157: 91-163
[22] Hao Y X, Li W T, Wang J B.Propagation dynamics of Lotka-Volterra
competition systems with asymmetric dispersal in periodic habitats. J Differential Equations, 2021, 300: 185-225
[23] Hosono Y.Singular perturbation analysis of travelling waves of diffusive Lotka-Volterra competition models//Numerical and Applied Mathematics, Part II. Basel: Baltzer, 1989: 687-692
[24] Hou X, Leung A. Traveling wave solutions for a competitive reaction-diffusion system and their asymptotics. Nonlinear Anal Real World Appl, 2008, 9: 2196-2213
[25] Hou X, Wang B, Zhang Z. The mutual inclusion in a nonlocal competitive Lotka Volterra system. Japan J Indust Appl Math, 2014, 31: 87-110
[26] Hutson V, Lou Y, Mischaikow K. Convergence in competition models with small diffusion coefficients. J Differential Equations, 2005, 211: 135-161
[27] Iida M, Muramatsu T, Ninomiya H, et al. Diffusion-induced extinction of a superior species in a competition system. Japan J Indust Appl Math, 1998, 15: 233-252
[28] Kolmogorov A N, Petrovskii I G, Piskunov N S. Study of a diffusion equation that is related to the growth of a quality of matter,its application to a biological problem. Byul Mosk Gos Univ Ser A: Mat Mekh, 1937, 1: 1-26
[29] Lam K, Salako R, Wu Q. Entire solutions of diffusive Lotka-Volterra system. J Differential Equations, 2020, 269: 10758-10791
[30] Lewis M, Li B, Weinberger H. Spreading speeds and linear determinacy for two-species competition models. J Math Biol, 2002, 269: 219-233
[31] Li W T, Wang J B, Zhang L. Entire solutions of nonlocal dispersal equations with monostable nonlinearity in space periodic habitats. J Differential Equations, 2016, 261: 2472-2501
[32] Li W T, Zhang L, Zhang G B. Invasion entire solutions in a competition system with nonlocal dispersal. Discrete Contin Dyn Syst, 2015, 35: 1531-1560
[33] Liang X, Zhao X. Asymptotic speeds of spread and traveling waves for monotone semiflows with applications. Comm Pure Appl Math, 2007, 60: 1-40
[34] Liu Q, Liu S, Lam K. Asymptotic spreading of interacting species with multiple fronts I: A geometric optics approach. Discrete Contin Dyn Syst, 2020, 40: 3683-3714
[35] Lou Y, Zhao X, Zhou P. Global dynamics of a Lotka-Volterra competition-diffusion-advection system in heterogeneous environments. J Math Pures Appl, 2019, 121: 47-82
[36] Lv G. Asymptotic behavior of traveling wave fronts and entire solutions for a nonlocal monostable equation. Nonlinear Anal, 2010, 72: 3659-3668
[37] Morita Y, Ninomiya H. Entire solutions with merging fronts to reaction-diffusion equations. J Dynam Differential Equations, 2006, 18: 841-861
[38] Morita Y, Tachibana K. An entire solution to the Lotka-Volterra competition-diffusion equations. SIAM J Math Anal, 2009, 40: 2217-2240
[39] Pan S, Lin G.Invasion traveling wave solutions of a competition system with dispersal. Bound Value Probl, 2012: 1-11
[40] Peng R, Wu C, Zhou M. Sharp estimates for spreading speed of the Lotka-Volterra diffusion system with strong competition. Ann Inst H Poincaré C Anal Non Linéaire, 2021, 38: 507-547
[41] Schumacher K. Travelling-front solutions for integro-differential equations, I. J Reine Angew Math, 1980, 316: 54-70
[42] Sun Y, Zhang L, Li W T, et al. Entire solutions in nonlocal monostable equations: asymmetric case. Commun Pure Appl Anal, 2019, 18: 1049-1072
[43] Wang J B, Li W T, Dong F D, et al. Recent developments on spatial propagation for diffusion equations in shifting environments. Discrete Contin Dyn Syst Ser B, 2022, 27: 5101-5127
[44] Wang J B, Wu C. Forced waves and gap formations for a Lotka-Volterra competition model with nonlocal dispersal and shifting habitats. Nonlinear Anal Real World Appl, 2021, 58: 103208
[45] Wang M, Lv G. Entire solutions of a diffusive and competitive Lotka-Volterra type system with nonlocal delays. Nonlinearity, 2010, 23: 1609-1630
[46] Widder D V. The Laplace Transform.Princeton, NJ: Princeton University Press, 1946
[47] Wu S L, Hsu C H. Entire solutions with merging fronts to a bistable periodic lattice dynamical system. Discrete Contin Dyn Syst, 2016, 36: 2329-2346
[48] Wu S L, Hsu C H. Existence of entire solutions for delayed monostable epidemic models. Trans Amer Math Soc, 2016, 368: 6033-6062
[49] Zeng X, Liu L, Xie W.Existence and uniqueness of the positive steady state solution for a Lotka-Volterra predator-prey model with a crowding term. Acta Math Sci, 2020, 40B: 1961-1980
[50] Zhang G B, Ma R, Li X. Traveling waves for a Lotka-Volterra strong competition system with nonlocal dispersal. Discrete Contin Dyn Syst Ser B, 2018, 23: 587-608
[51] Zhang G B, Zhao X Q. Propagation phenomena for a two-species Lotka-Volterra strong competition system with nonlocal dispersal. Calc Var Partial Differential Equations, 2020, 59: Art 10
[52] Zhang Q, Zhang G B. Front-like entire solutions for a Lotka-Volterra weak competition system with nonlocal dispersal. J Dyn Control Syst, 2021, 27: 133-151
[53] Zhao G, Ruan S. Existence, uniqueness and asymptotic stability of time periodic traveling waves for a periodic Lotka-Volterra competition system with diffusion. J Math Pures Appl, 2011, 95: 627-671
