Optimal control of exogenous reinfection prevention and treatment on a tuberculosis model

Zuhri, Zainullah and Hamid, Abdulloh and Subchan, Subchan and Rofiki, Imam (2018) Optimal control of exogenous reinfection prevention and treatment on a tuberculosis model. Presented at The Built Environment, Science and Technology International Conference (BEST ICON), 18-19 Sep 2018, Surabaya, Indonesia.

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Abstract

We apply optimal control for a system of ordinary differential equations in modelling tuberculosis disease with exogenous reinfection. Reducing the contact between exposed and infectious tuberculosis people and increasing the population of the medication compartment can be done to overcome the spreading of tuberculosis disease. We use control strategy of the tuberculosis disease to represent the prevention of exogenous reinfection and optimal treatment. Using Pontryagin’s maximum principle, we have discussed optimal control of the tuberculosis disease. We use Forward-Backward Sweep Method to gain optimal system numerically. Numerical results show that the performance of 2-control model is highly effective for reducing the number of infected individuals in the Tuberculosis model by considering the simulation results from Susceptible, Exposed, Infectious and Treated population satisfying from each expected condition.

Item Type: Conference (Paper)
Keywords: exogenous reinfection; Forward-Backward Sweep Method; optimal control; Pontryagin’s maximum principle; tuberculosis model
Subjects: 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010203 Calculus of Variations, Systems Theory and Control Theory
Divisions: Faculty of Tarbiyah and Teaching Training > Department of Teacher Education for Islamic Primary Schools
Depositing User: Imam Rofiki
Date Deposited: 27 Mar 2020 00:37

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