A stability and optimal control analysis on a dengue transmission model with mosquito repellent

Abstract

Dengue fever is a significant global disease that is transmitted by female mosquitoes, specifically the Aedes aegypti and Aedes albopictus species. As part of efforts to control the spread of this disease, the use of mosquito repellent has emerged as an alternative. This research presents an analysis of the stability and optimal control of a dengue transmission model incorporating the use of mosquito repellent. Dynamical analysis conducted to see the impact of the control reproduction number on the stability of the equilibrium points. We find that due to the limited treatment resources, the condition of control reproduction number less than one is not enough to guarantee the disappearance of dengue from the population. Optimal control simulation conducted to see the impact of mosquito repellent intervention to reduce dengue effectively under some specific scenario.