Entire Solutions in Delayed Lattice Differential Equations with Monostable Nonlinearity

We construct new types of entire solutions for a class of monostable delayed lattice differential equations with global interaction by mixing a heteroclinic orbit of the spatially averaged ordinary differential equations with traveling wave fronts with different speeds. We also establish the uniqueness of entire solutions and the continuous dependence of such an entire solution on parameters, such as wave speeds, for the spatially discrete Fisher-KPP equation.

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