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In this paper, we mainly investigate the spreading dynamics of a nonlocaldiffusion KPP model with free boundaries which is firstly explored in timealmost periodic media. As the spreading occurs, the long-run dynamics areobtained. Especially, when the threshold condition for the kernel function issatisfied, applying the novel positive time almost periodic function, weaccurately express the unique asymptotic spreading speed of the free boundaryproblem.

Spreading speeds of a nonlocal diffusion model with free boundaries in the time almost periodic media