4 Minimal cost-time strategies for mosquito population replacement
From MaRDI portal
Publication:5073472
DOI10.1515/9783110695984-004zbMATH Open1486.92328arXiv2004.02469OpenAlexW3021425372MaRDI QIDQ5073472
Author name not available (Why is that?)
Publication date: 29 April 2022
Published in: Optimization and Control for Partial Differential Equations (Search for Journal in Brave)
Abstract: Vector control plays a central role in the fight against vector-borne diseases and, in particular, arboviruses. The use of the endosymbiotic bacterium Wolbachia has proven effective in preventing the transmission of some of these viruses between mosquitoes and humans, making it a promising control tool. The Incompatible Insect Technique (IIT) consists in replacing the wild population by a population carrying the aforementioned bacterium, thereby preventing outbreaks of the associated vector-borne diseases. In this work, we consider a two species model incorporating both Wolbachia infected and wild mosquitoes. Our system can be controlled thanks to a term representing an artificial introduction of Wolbachia-infected mosquitoes. Under the assumption that the birth rate of mosquitoes is high, we may reduce the model to a simpler one on the proportion of infected mosquitoes. We investigate minimal cost-time strategies to achieve a population replacement both analytically and numerically for the simplified 1D model and only numerically for the full 2D system
Full work available at URL: https://arxiv.org/abs/2004.02469
Epidemiology (92D30) Optimality conditions for problems involving ordinary differential equations (49K15) Pest management (92D45)
Related Items (1)
This page was built for publication: 4 Minimal cost-time strategies for mosquito population replacement
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5073472)
