OPTIMIZATION GIVING COMBINATION OF VACCINATION, REPELLENT AND WOLBACHIA IN DENGUE MODEL WITH H2 CONTROL

• Main Author: Arifin Prasetyo, Tegar
• Format: Theses
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/49385
• Institution: Institut Teknologi Bandung

Dengue is a disease caused by the dengue virus and become health problems in the tropics and subtropics. Dengue virus transmission is caused by the bite of an infected female mosquito.Prevention eorts have been made such as giving vaccinations and repellents to humans on periodically. In the last 9 years or so, the wolbachia bacteria have been used to contribute to suppressing the spread of dengue. Therefore, this research will construct and study a dengue model wi- thout and with mobility aspects with control combination of giving vaccination, repellent to humans and giving wolbachia bacteria to non-wolbachia mosqui- to eggs. In the modeling, there are many unknown parameters.Therefore, the genetic algorithm method and the maximum likelihood method are used to esti- mate the parameters of the dengue model.An optimal control design using the Pontryagin Minimum Principle is applied to reduce the number of infected hu- mans.Then, in fact the dynamics of dengue spread can be in uenced by several external and internal factors, so it is necessary to consider the noise in the mo- del. Furthermore, a control optimization problem is constructed in the dengue model with noise in the form of displacement between compartments.The H2 control design is implemented to optimize objective functions and reduce noise. A genetic algorithm is used to optimize the H2 control by looking for the K feedback gain. The simulation results show that the application of control can reduce the number of infected humans. Furthermore, control H2 can reduce the maximum system noise by 51.38 %.