Center for Applied Mathematics, Guangzhou University, Guangzhou, 510006, People's Republic of China.
College of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, People's Republic of China.
Bull Math Biol. 2021 Apr 13;83(5):58. doi: 10.1007/s11538-021-00881-9.
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.
蚊媒疾病，如登革热和寨卡病毒，已对全球人类健康构成严重威胁。控制病媒蚊是预防这些疾病的有效方法。喷洒杀虫剂一直是减少蚊虫数量的主要方法，但由于杀虫剂耐药性的增加，它不是一种可持续的解决方案。一种有前途的补充方法是将感染沃尔巴克氏体的蚊子释放到野生蚊子种群中，事实证明，这是一种控制蚊子的新颖且环保的方法。在本文中，我们基于种群替换模型，考虑释放感染不育蚊子和喷洒杀虫剂以减少野生蚊子种群。我们提出了在正常环境下野生蚊子数量或感染密度的估计值，然后讨论了如何抵消热浪的影响，热浪会导致感染的蚊子失去沃尔巴克氏体感染。最后，我们通过数值模拟给出了抑制野生蚊子种群到给定阈值大小的等待时间。
