Propagation and its failure in a lattice delayed differential equation with global interaction

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Bistable wavefronts in a diffusive and competitive Lotka-Volterra type system with nonlocal delays (2008, methodology): “[60] J. Wu, X. Zou, Traveling wavefronts of reaction–diffusion systems with delay, J. Dynam.”
Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models (2009, methodology): “For scalar equations with diffusion and delays, the existence of traveling wave solutions has been widely studied by using the comparison principle [29, 30, 31, 42, 46, 47, 51, 55, 57, 65] and perturbation method [3, 6, 7, 34].”
Traveling Fronts in Monostable Equations with Nonlocal Delayed Effects (2008, methodology): “Wu and Zou [47] considered more general reaction–diffusion systems with finite delay using the classical monotone iteration technique coupled with the sub- and supersolutions method.”
Asymptotic speed of propagation and traveling wavefronts in a non-local delayed lattice differential equation (2006, unknown): “For details, see, for example, [6–8,12,3–5,17,22,24,26,27,34,35], and the references therein.”