APLIKASI TEORI KONTROL OPTIMAL MEMINIMALKAN JUMLAH INDIVIDU YANG TERINFEKSI PADA PENYAKIT TUBERKULOSIS

Novia, Suarni (2024) APLIKASI TEORI KONTROL OPTIMAL MEMINIMALKAN JUMLAH INDIVIDU YANG TERINFEKSI PADA PENYAKIT TUBERKULOSIS. S1 thesis, Universitas Andalas.

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Abstract

Tuberculosis is an infectious disease that causes the second most deaths after corona virus disease 2019 (COVID-19). This research uses the SEIT (Sus�ceptible, Exposed, Infectious, Treated) model by analyzing the stability of the equilibrium point. This research also seeks optimal control of the spread of tuberculosis, one of the causes being exogenous reinfection, adding isolation as a controlling variable. This research looks for the stability of the equilibrium point and determines the level of isolation optimal that satisfies the SEIT dynamic model to minimize the number individuals infected with tuberculosis using the principle Pontryagin minimum. In this research, numerical simula�tions were carried out using the 4th order Runge-Kutta method with the help of MATLAB software to observe the dynamics of the SEIT population over time.

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