<p>This paper is concerned with a hybrid reaction–diffusion mosquitoes model perturbed by impulsive control, where the model incorporates imperfect maternal transmission, incomplete cytoplasmic incompatibility (CI) and fitness effect of <i>Wolbachia</i>. The model is periodic and lacks monotonicity due to the integration of impulsive control and imperfect maternal transmission. We establish threshold conditions for the extinction and existence of mosquito populations by the suitable auxiliary problems and lower and upper solutions that can overcome obstacles caused by factors considered, demonstrating the four possible biological outcomes for mosquitoes control. Especially, our theoretical results can reveal the subtle relation between the invasion of <i>Wolbachia</i> and several important parameters including impulsive control rate, impulsive periodic, CI intensity, maternal transmission rate, fitness effect and the initial occupancy of <i>Wolbachia</i> infection. Furthermore, the maximal <i>Wolbachia</i> maternal leakage rate and impulsive control rate against <i>Wolbachia</i>-infected mosquitoes are given. Numerically, we perform simulations to give some interesting phenomena. Specifically, the combination of efficient impulsive control and high proportion of appropriate <i>Wolbachia</i> under certain cases will be more effective in controlling mosquitoes. Surprisingly, the lower initial occupancy, incomplete CI, imperfect maternal transmission and fitness cost of <i>Wolbachia</i> lead to a reversal of <i>Wolbachia</i> invasion from success to failure, but the frequent implementation of impulsive control could again achieve a perfect reversal even for a low initial infection frequency. This work provides new perspectives for further research on mosquitoes control.</p>