Dengue fever is one of the life-threatening diseases transmitted by mosquitoes, specifically, the Aedes aegypti mosquitoes. It is mostly seen in the tropical regions of Africa and Asia, contributing to significant health burdens globally. Despite several efforts to control the disease and several studies in this area, the disease remains endemic in some places of the world. The increase in the endemicity of the disease is due to the increasing rate of mosquito-resistance to insecticide spray and absence of drugs for its treatment. These challenges underscore the need for researches to suggest better ways of controlling the disease. In this work, a system of nonlinear ordinary differential equations is used to model Dengue fever in a disease-endemic region. This new model incorporates vaccination, preventive measures such as use of mosquito treated bed-nets and mosquito repellent, use of insecticide spray and fogging as well as encouraging regular testing for the disease since a large proportion of infected humans are usually asymptomatic. The model is first shown to be epidemiologically and mathematically well-posed before obtaining the equilibrium points of the system as well as the control reproduction number. The conditions for local and global stability analysis of the equilibrium points of the system are established. Sensitivity analysis is also carried out to show the parameters that affect the endemicity of the disease. Numerical simulations are employed to show the effects of the proposed controls. The controls were seen to be very effective in reducing the spread of the disease and it is recommended that in any region where Dengue is endemic, employing the proposed controls can help reduce or eliminate the spread of the disease.
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- Article
A Control Model for Dengue Fever in a Disease-Endemic Region
Author Information
Received: 06 Jun 2026 | Revised: 17 Jun 2026 | Accepted: 22 Jun 2026 | Published: 08 Jul 2026
Abstract
Keywords
dengue | vaccination | sensitivity analysis | bifurcation | stability analysis
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