Penerapan Teori Kontrol Optimal Pada Model Penyebaran Penyakit
Keywords:
Pemodelan Matematika, Kontrol Optimal, Penyakit menular, Estimasi ParameterSynopsis
Pemodelan matematika merupakan salah satu cabang dibidang matematika terapan. Pemodelan adalah proses mengkonstruksi dan memformulasikan sebuah model dari suatu sistem nyata. Pendekatan umum dalam pemodelan matematika adalah memformulasikan model matematika dari suatu fenomena, menyelesaikan model baik secara analitik maupun komputasi numerik, melakukan validasi model dan mengembangkan rekomendasi untuk peningkatan kinerja. Pemodelan matematika dalam epidemiologi menjadi alat yang efektif untuk memahami dan mengilustrasikan dinamika penyebaran penyakit menular seperti Malaria, Demam Berdarah Dengue (DBD), Tuberculosis (TB), HIV/AIDS, Campak, Hepatitis, Kolera, Influenza, COVID-19 serta penyakit menular lainnya. Untuk menganalisis faktor biaya dalam pengendalian penyakit menular, teori kontrol optimal dapat diaplikasikan. Kontrol optimal adalah cabang matematika terapan yang dikembangkan untuk menemukan cara optimal dalam mengatur sistem dinamik. Penerapan pemodelan matematika dan kendali optimal pada pengendalian penyebaran penyakit menular akan menjadi pokok bahasan pada kajian ini. Sebagai studi kasus, kami mengelompokkan tiga tipe model penyebaran penyakit menular yang akan dibahas yakni penyakit Malaria yang ditularkan dengan perantara nyamuk (vector), penyakit Tuberkulosis (TB) dan terakhir adalah penyakit COVID-19 yang menjadi pandemi di di seluruh dunia pada tahun 2020-2022.
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