Mosquito-borne diseases, such as dengue fever and Zika, have posed a serious threat to human health around the world. Controlling vector mosquitoes is an effective method to prevent these diseases. Spraying pesticides has been the main approach of reducing mosquito population, but it is not a sustainable solution due to the growing insecticide resistance. One promising complementary method is the release of Wolbachia-infected mosquitoes into wild mosquito populations, which has been proven to be a novel and environment-friendly way for mosquito control. In this paper, we incorporate consideration of releasing infected sterile mosquitoes and spraying pesticides to aim to reduce wild mosquito populations based on the population replacement model. We present the estimations for the number of wild mosquitoes or infection density in a normal environment and then discuss how to offset the effect of the heatwave, which can cause infected mosquitoes to lose Wolbachia infection. Finally, we give the waiting time to suppress wild mosquito population to a given threshold size by numerical simulations.

登革热和寨卡病毒等蚊媒疾病已对全球人类健康构成严重威胁。控制病媒蚊子是预防这些疾病的有效方法。喷洒杀虫剂一直是减少蚊子数量的主要方法，但由于对杀虫剂的抗药性不断增强，这不是一个可持续的解决方案。一种有前途的补充方法是释放沃尔巴克氏体- 将被感染的蚊子转化为野生蚊子种群，这已被证明是一种新型、环保的蚊子控制方式。在本文中，我们基于种群置换模型考虑释放受感染的不育蚊子和喷洒杀虫剂，以减少野生蚊子的种群。我们给出了正常环境中野生蚊子数量或感染密度的估计值，然后讨论如何抵消热浪的影响，热浪会导致受感染的蚊子失去沃尔巴克氏菌感染。最后，我们通过数值模拟给出了将野生蚊子种群抑制到给定阈值大小的等待时间。