MATHEMATICAL MODEL OF REPELLENT EFFECT AND CONTROL IN DENGUE TRANSMISSION

• Main Author: Nurlita Rachmawati, Ria
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/72959
• Institution: Institut Teknologi Bandung

Dengue is a disease caused by the dengue virus, which is transmitted through the bite of an infected female Aedes aegypti. Dengue virus is a member of the genus Flavivirus, family Flaviviridae. Indonesia is one of the countries with the most dengue cases in Southeast Asia. Therefore, dengue transmission must be controlled to reduce the increase in dengue cases. One of the controls is by using repellents. Repellent is one of the human protection strategies to avoid mosquito bites which are used by spraying or smearing. This study models dengue transmission by reviewing the effect and control of repellent. Mathematical model of repellent effect and control in dengue transmission is constructed using a SIR compartment model. The SIR model is modified by involving mosquito and human population. Repellent is used in human, both susceptible human, infected human, and recovered human. Numerical and analytical simulations are conducted to analyze the behavior of each compartment of the mosquito population and the human population in dengue transmission. Analytical results show that the factors affecting the spread of infection are the transmission rate of dengue virus and the loss of human repellent protection. The transmission rate of dengue virus in the interval [ ] increases the infected human by 2.73%, while the rate of loss of human repellent protection in the interval [ ] increases the infected human by 0.03%. Controlling the rate of repellent use and the proportion of humans who are aware of the importance of repellents are reviewed in the disease spread model to analyze their effects by designing three control strategies, namely adjusting the rate of repellent use, increasing the proportion of healthy human using repellent since the beginning, and combination of both. Optimal control is used to minimize Infected Human without Repellent. Numerical simulation results on the optimal control problem show that the proportion of healthy human using repellent since the beginning in the interval [ ] can reduce the infected human by 0.647%.