Weights optimization using Firefly Algorithm on optimal control of zika disease from dengue symptoms by vaccination

Abstract

Zika disease is caused by zika virus. Zika virus can be contagious through the Aedes biting, such as Aedes aegypti. The mosquitoes can also transmit dengue fever. From the problem of zika spread, then in this research can be constructed mathematical model of zika spread from dengue symptoms. In zika spread from dengue symptoms, there are two populations included i.e. human population as host and mosquito population as vector. Because the treatments for zika disease are unavailable, then vaccination is given to susceptible human. Optimal control is used for minimizing the number of infected human and the cost of vaccination. Due to the cost of objective function depends on weights, in this research we will apply Firefly Algorithm (FA) to optimize weights minimizing cost of objective function. FA is based on behavior of flashing characteristics of fireflies. Simulations have been applied and we can obtain comparison the number of human and mosquito with and without control. In addition, we also obtain optimal weight related to the number of infected human and the cost of vaccination.