Liu Yun Feng, Sun Guo Wei, Wang Lin, Guo Zhi Ming
School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, China.
School of Mathematics and Information Technology, Yuncheng University, Yuncheng, Shanxi, 044000, China.
Math Biosci Eng. 2019 May 20;16(5):4399-4414. doi: 10.3934/mbe.2019219.
Releasing mosquitoes with Wolbachia into the wild mosquito population is becoming the very promising strategy to control mosquito-borne infections. To investigate the effects of wind and critical patch size on the Wolbachia establishment in the wild mosquito population, in this paper, we propose a diffusion-reaction-advection system in a heterogeneous environment. By studying the related eigenvalue problems, we derive various conditions under which Wolbachia can fully establish in the entire wild mosquito population. Our findings may provide some useful insights on designing practical releasing strategies to control the mosquito population.
将携带沃尔巴克氏体的蚊子释放到野生蚊子种群中正在成为控制蚊媒感染的非常有前景的策略。为了研究风和关键斑块大小对野生蚊子种群中沃尔巴克氏体定殖的影响，在本文中，我们提出了一个在异质环境中的扩散-反应-平流系统。通过研究相关的特征值问题，我们推导出了沃尔巴克氏体能够在整个野生蚊子种群中完全定殖的各种条件。我们的研究结果可能为设计控制蚊子种群的实际释放策略提供一些有用的见解。
