Abstract:

The existence of traveling wave solutions of  non\|local delayed lattice differential equations was proved by constructing two associated auxiliary delayed lattice differential equations with quasimonotonicity and using the Schauder’s fixed point theorem. The result implies that the traveling wave solutions of the delayed lattice differential equations with crossingmonostability are persistent for all  values of the delay.

Key words: traveling waves solution, delayed lattice differential equations, Schauder’s fixed point theorem, crossingmonostable nonlinearity