Establishing Wolbachia in the wild mosquito population: The effects of wind and critical patch size

Autor: Yun Feng Liu, Lin Wang, Zhi Ming Guo, Guo Wei Sun
Rok vydání: 2019
Předmět:
Zdroj: Mathematical Biosciences and Engineering. 16:4399-4414
ISSN: 1551-0018
DOI: 10.3934/mbe.2019219
Popis: 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.
Databáze: OpenAIRE