Spreading speeds in a lattice differential equation with distributed delay

Authors: HUILING NIU

Abstract: This paper studies the spreading speed for a lattice differential equation with infinite distributed delay and we find that the spreading speed coincides with the minimal wave speed of traveling waves. Here the model has been proposed to describe a single species living in a 1D patch environment with infinite number of patches connected locally by diffusion.

Keywords: Lattice differential equation, infinite distributed delay, spreading speeds

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