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 |
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Rok vydání: | 2019 |
Předmět: |
biology
Applied Mathematics fungi 05 social sciences Zoology Mosquito population 02 engineering and technology General Medicine biochemical phenomena metabolism and nutrition biology.organism_classification Computational Mathematics Modeling and Simulation parasitic diseases 0502 economics and business 0202 electrical engineering electronic engineering information engineering bacteria 020201 artificial intelligence & image processing Wolbachia General Agricultural and Biological Sciences 050203 business & management |
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 |
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