Optimal Control of an HIV Model with Changing Behavior through an Education Campaign, Screening and Treatment

9th Annual Basic Science International Conference 2019

自然科学（总论）

Marsudi^1 ; Trisilowati^1 ; Suryanto, Agus^1 ; Darti, Isnani^1

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Jl. Veteran, Malang

65145, Indonesia^1

关键词: Control strategies;    Forward/ backward sweep;    Numerical approximations;    Numerical results;    Optimal control problem;    Optimal control theory;    Pontryagin's maximum principle;    System of differential equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/546/5/052043/pdf
DOI  :  10.1088/1757-899X/546/5/052043

学科分类：自然科学（综合）

来源: IOP

【 摘 要 】

Optimal control theory was used on the system of differential equations to achieve the goal of minimizing the infected population and slow down the epidemic outbreak. Necessary conditions of optimal control problem were rigorously analysed using Pontryagin's maximum principle. Three control strategies were incorporated such as human education campaign, screening and treatment of infected human and its impact were graphically observed. Runge-Kutta forward-backward sweep numerical approximation method is used to solve the optimal control system. Numerical results with education campaign levels, screening and treatment rates as controls are illustrated.