Insecticide control in a Dengue epidemics model

TL;DR

This paper presents a mathematical model for dengue transmission incorporating insecticide control, aiming to optimize application strategies to reduce infection rates, validated with data from the 2009 Cape Verde outbreak.

Contribution

It introduces a compartmental model including insecticide control and analyzes optimal application strategies for dengue epidemic management.

Findings

Effective insecticide application reduces infection prevalence.

Model validated with real outbreak data.

Optimal control strategies identified for dengue mitigation.

Abstract

A model for the transmission of dengue disease is presented. It consists of eight mutually-exclusive compartments representing the human and vector dynamics. It also includes a control parameter (insecticide) in order to fight the mosquitoes. The main goal of this work is to investigate the best way to apply the control in order to effectively reduce the number of infected humans and mosquitoes. A case study, using data of the outbreak that occurred in 2009 in Cape Verde, is presented.