P. W. Bates, On some nonlocal evolution equations arising in materials science, In: Nonlinear dynamics and evolution equations (Ed. by H. Brunner, X. Zhao and X. Zou), pp. 13-52, Fields Inst. Commun. 48, AMS, Providence, 2006.
P. W. Bates, P. C. Fife, X. Ren, and X. Wang, Traveling waves in a convolution model for phase transitions, Arch. Rational Mech. Anal. 138 (1997), no. 2, 105-136.
J. Carr and A. Chmaj, Uniqueness of travelling waves for nonlocal monostable equations, Proc. Amer. Math. Soc. 132 (2004), no. 8, 2433-2439.
X. Chen, Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations, Adv. Differential Equations 2 (1997), no. 1, 125-160.
J. Coville and L. Dupaigne, Propagation speed of travelling fronts in non local reaction-diffusion equations, Nonlinear Anal. 60 (2005), no. 5, 797-819.
J. Coville and L. Dupaigne, On a non-local equation arising in population dynamics, Proc. Roy. Soc. Edinburgh Sect. A 137 (2007), no. 4, 727-755.
S. A. Gourley and J. Wu, Delayed non-local diffusive systems in biological invasion and disease spread, In: Nonlinear dynamics and evolution equations (Ed. by H. Brunner, X. Zhao and X. Zou), pp. 137-200, Fields Inst. Commun. 48, AMS, Providence, 2006.
L. Hopf, Introduction to Differential Equations of Physics, Dover, New York, 1948.
Y. Jin and X. Q. Zhao, Spatial dynamics of a periodic population model with dispersal, Nonlinearity 22 (2009), no. 5, 1167-1189.
W. T. Li, Y. Sun, and Z. C. Wang, Entire solutions in the Fisher-KPP equation with nonlocal dispersal, Nonlinear Anal. Real World Appl. 11 (2010), no. 4, 2302-2313.
X. Liang and X. Q. Zhao, Asymptotic speeds of spread and traveling waves for monotone semiflows with applications, Comm. Pure Appl. Math. 60 (2007), no. 1, 1-40.
G. Lin and S. Ruan, Traveling wave solutions for delayed reaction-diffusion systems and applications to Lotka-Volterra competition-diffusion models with distributed delays, J. Dynam. Diff. Eqns., in press, DOI: 10.1007/s10884-014-9355-4.
J. D. Murray, Mathematical Biology, Springer, Berlin-Heidelberg-New York, 1993.
S. Pan, Traveling wave fronts of delayed non-local diffusion systems without quasimonotonicity, J. Math. Anal. Appl. 346 (2008), no. 2, 415-424.
S. Pan, W. T. Li, and G. Lin, Travelling wave fronts in nonlocal delayed reaction-diffusion systems and applications, Z. Angew. Math. Phys. 60 (2009), no. 3, 377-392.
S. Pan, W. T. Li, and G. Lin, Existence and stability of traveling wavefronts in a nonlocal diffusion equation with delay, Nonlinear Anal. 72 (2010), no. 6, 3150-3158.
W. Shen and A. Zhang, Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats, J. Differential Equations 249 (2010), no. 4, 747-795.
N. Shigesada and K. Kawasaki, Biological Invasions: Theory and Practice, Oxford University Press, Oxford, 1997.
H. L. Smith, Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems, AMS, Providence, RI, 1995.
Y. Sun, W. T. Li, and Z. C. Wang, Traveling waves for a nonlocal anisotropic dispersal equation with monostable nonlinearity, Nonlinear Anal. 74 (2011), no. 3, 814-826.
S. Wu and S. Liu, Traveling waves for delayed non-local diffusion equations with crossing-monostability, Appl. Math. Comput. 217 (2010), no. 4, 1435-1444.
J. Xia, Z. Yu, and R. Yuan, Traveling waves of a competitive Lotka-Volterra model with nonlocal diffusion and time delays, Acta Math. Appl. Sin. 34 (2011), no. 6, 1082-1093.
Z. Xu and P. Weng, Traveling waves in a convolution model with infinite distributed delay and non-monotonicity, Nonlinear Anal. Real World Appl. 12 (2011), no. 1, 633-647.
Z. Yu and R. Yuan, Travelling wave solutions in nonlocal reaction-diffusion systems with delays and applications, ANZIAM J. 51 (2009), no. 1, 49-66.
Z. Yu and R. Yuan, Travelling wave solutions in non-local convolution diffusive competitive-cooperative systems, IMA J. Appl. Math. 76 (2011), no. 4, 493-513.
G. Zhang, W. T. Li, and G. Lin, Traveling waves in delayed predator-prey systems with nonlocal diffusion and stage structure, Math. Comput. Modelling 49 (2009), no. 5-6, 1021-1029.
G. Zhang, W. T. Li, and Z. C. Wang, Spreading speeds and traveling waves for nonlocal dispersal equations with degenerate monostable nonlinearity, J. Differential Equations 252 (2012), no. 9, 5096-5124.