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In this paper, we investigate a Fisher-KPP nonlocal diffusion modelincorporating the effect of advection and free boundaries, aiming to explorethe propagation dynamics of the nonlocal diffusion-advection model. Consideringthe effects of the advection, the existence, uniqueness, and regularity of theglobal solution are obtained. We introduce the principal eigenvalue of thenonlocal operator with the advection term and discuss the asymptotic propertiesinfluencing the long-time behaviors of the solution for this model. Moreover,we give several sufficient conditions determining the occurrences of spreadingor vanishing and obtain the spreading-vanishing dichotomy. Most of all,applying the semi-wave solution and constructing the upper and the lowersolution, we give an explicit description of the finite asymptotic spreadingspeeds for the double free boundaries on the effects of the nonlocal diffusionand advection compared with the corresponding problem without an advectionterm.

Dynamics and spreading speeds of a nonlocal diffusion model with advection and free boundaries