A novel strategy for controlling mosquito-borne diseases, such as dengue, malaria and Zika, involves releases of Wolbachia-infected mosquitoes as Wolbachia cause early embryo death when an infected male mates with an uninfected female. In this work, we introduce a delay differential equation model with mating inhomogeneity to discuss mosquito population suppression based on Wolbachia. Our analyses show that the wild mosquitoes could be eliminated if either the adult mortality rate exceeds the threshold ${\delta }_A^{\ast }$ or the release amount exceeds the threshold $r^{\ast }$ uniformly. We also present the nonlinear dependence of ${\delta }_A^{\ast }$ and $r^{\ast }$ on the parameters, respectively, as well as the effect of pesticide spraying on wild mosquitoes. Our simulations suggest that the releasing should be started at least 5 weeks before the peak dengue season, taking into account both the release amount and the suppression speed.

控制登革热，疟疾和寨卡病毒等蚊媒疾病的新策略涉及释放感染了Wolbachia的蚊子，因为当感染的雄性与未感染的雌性交配时，Wolbachia会导致早期胚胎死亡。在这项工作中，我们引入了具有不均匀交配的延迟微分方程模型，以讨论基于Wolbachia的蚊虫种群抑制。我们的分析表明，如果任何一个成年人的死亡率超过阈值，则可以消除野生蚊子${\delta }_{\mathrm{一种}}^{\ast }$ 或释放量超过阈值 ${\mathrm{[R}}^{\ast }$统一地 我们还提出了非线性依赖关系${\delta }_{\mathrm{一种}}^{\ast }$ 和 ${\mathrm{[R}}^{\ast }$分别评估其参数以及农药喷洒对野生蚊子的影响。我们的模拟表明，应同时考虑到释放量和抑制速度，在登革热高峰季节之前至少5周开始释放。