| Summary: | In this paper, we investigate a time-delayed vector-borne disease model with impulsive culling of the vector. The basic reproduction number $ \mathcal{R}_0 $ of our model is first introduced by the theory recently established in <sup>[<xref ref-type="bibr" rid="b1">1</xref>]</sup>. Then the threshold dynamics in terms of $ \mathcal{R}_0 $ are further developed. In particular, we show that if $ \mathcal{R}_0 < 1 $, then the disease will go extinct; if $ \mathcal{R}_0 > 1 $, then the disease will persist. The main mathematical approach is based on the uniform persistent theory for discrete-time semiflows on some appropriate Banach space. Finally, we carry out simulations to illustrate the analytic results and test the parametric sensitivity on $ \mathcal{R}_0 $.
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