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Genetic Algorithm in Control System for Dengue Model Analysis with Vaccination, Repellent, and Wolbachia Scheme


T.A. Prasetyo, R. Saragih and D. Handayani
Abstract

Dengue is a very dangerous disease and easily spread in the tropics and subtropics area. This disease is transmitted through the bite of female Aedes Aegypti mosquitoes infected. In this research, optimal control for dengue model will be discussed with several schemes: vaccination, repellent, wolbachia, and combination of them. Dengue model is built on some fact and some assumption. Model formed is validated by real data approach. Then, the positivity model is examined, the equilibrium point is formulated, and the stability model is evaluated. Genetic algorithm are used to estimate the parameters needed in model. The next discussion is determined optimal control for dengue model by minimizing cost of implementation control. Numerical simulation results show that the combined scheme of vaccination, repellent, and wolbachia can reduce the number of human subpopulations infected and obtain the minimum cost.

Volume 12 | 07-Special Issue

Pages: 1208-1218

DOI: 10.5373/JARDCS/V12SP7/20202221