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The objective of the present paper is to use the well‐known Ross–Macdonald models as a prototype, incorporating spatial movements, identifying different time scales and proving a singular perturbation result using a system of local and nonlocal diffusion. This results can be applied to the prototype model, where the vector has a fast dynamics, local in space, and the host has a slow dynamics, nonlocal in space.

Time‐scale analysis nonlocal diffusion systems, applied to disease models