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Firstly, the model with impulsive effects at fixed moments is considered.
Jiao et al. [8] presented a delayed predator-prey model with impulsive diffusion between two patches.
In this paper, we investigate a delayed chemostat model with impulsive diffusion and input on nutrients.
The chemostat model with impulsive input nutrient concentration was studied from different views in [18 22].
In this paper, we formulate a delayed phytoplankton-zooplankton model with impulsive diffusion on phytoplankton.
A logistic model with impulsive Holling type-II harvesting is proposed and investigated in this paper.
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So for this reason, infectious models with impulsive vaccination are concerned by more and more scholars.
In [12, 13], the authors considered plant disease models with impulsive effects.
Hence the chemostat models with impulsive effect have attracted wide attention [35 38].
Jiao et al. [10] and Tang et al. [11] have studied the population models with impulsive perturbation at fixed moments.
Looking at the results of existing researches on epidemic dynamical models with impulsive vaccination and using mathematical model to investigate vector-borne epidemic model, the dynamic behavior with impulsive vaccination strategy is not investigated.
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