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MODEL MATEMATIKA TRANSMISI PENYAKIT FRAMBUSIA MELALUI KONTAK ANTAR INDIVIDU BERLESI DAN LALAT SEBAGAI VEKTOR PEMBAWA
https://doi.org/10.22146/jmt.92439 Faizah Azzahra(1*)
(1) Gadjah Mada University
(*) Corresponding Author
Abstract
frambusia dengan melibatkan adanya vektor lalat.Populasi pada model dibagi men-
jadi 9 kompartemen yaitu:Susceptible, Exposed, Infected in primer stadium, Infected
in laten 1 stadium, Infected in secondary stadium, Infected in laten 2 stadium, in-
fected in tertiery stadium, Succeptible flies, danInfected flies.Penelitian ini bertu-
juan untuk membangun sebuah model yang melibatkan lalat serta dampak interaksi
lalat terhadap penyebaran penyakit frambusia.Setelah mencari titik ekuilibrium dan
menghitung bilangan reproduksi dasar, selanjutnya diselidiki kestabilanya. Terakhir, di-
lakukan simulasi numerik serta analisis sensitivitas untuk mengetahui parameter yang
paling berpengaruh dan dampak interaksi dengan lalat dalam mengambil kebijakan pada
pengendalian penyebaran penyakit frambusia.Hasil yang diperoleh bahwa pengobatan
dengan strategi morges dapat menekan angka penyebaran penyakit frambusia.Pengob-
atan dengan strategi morges yang dilakukan dalam waktu 6 bulan sekali pada wilayah
yang menjadi target eradikasi frambusia, dapat memberantas penyakit frambusia apa-
bila jumlah interaksi dengan lalat terinfeksi tidak berada pada jumlah yang cukup untuk
menyebabkan penyakit endemik.Pengendalian pengobatan yang terus dilakukan serta
pengendalian sanitasi dan interaksi dengan vektor-vektor pembawa penyakit frambusia
perlu dilakukan agar dipenuhi kondisi bebas penyakit
Keywords
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DOI: https://doi.org/10.22146/jmt.92439
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