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This paper investigates the existence of almost periodic traveling fronts forFisher-KPP lattice equations in one-dimensional almost periodic media. By theLyapunov exponent of the linearized operator near the unstable steady state, wegive sufficient condition of the existence of minimal speed of travelingfronts. Furthermore, it is showed that almost periodic traveling fronts sharethe same recurrence property as the structure of the media.  As applications, we give some typical examples which have minimal speed, andthe proof of this depends on dynamical system approach to almost periodicSchrodinger operator.

Traveling fronts for Fisher-KPP lattice equations in almost periodic media