Model Matematika Penyebaran ISPA.pptx

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Dokumen tersebut merangkum model matematika untuk memprediksi penyebaran ISPA di Jakarta dengan mempertimbangkan faktor iklim. Model Richard Curve dan SIR digunakan untuk memodelkan kasus kumulatif dan bulanan di berbagai wilayah Jakarta serta memprediksi laju pertumbuhan dan waktu onset penyakit. Korelasi antara data penyebaran dengan suhu, kelembaban, dan curah hujan juga dihitung.

Education

MODEL MATEMATIKA PENYEBARAN ISPA JAKARTA DENGAN MEILHAT
KORELASI TERHADAP FAKTOR IKLIM

TEMPORAL
◉ Richard Curve
𝐶 𝑡 =
𝐾
1 + 𝑒−𝑟𝜇 𝑡−𝑡1
1
𝜇
Dengan
C(t) = Kasus Kumulatif
K = Jumlah Kaus
r= Laju Pertumbuhan
2
◉ Model SIR
Model SIR merupakan model pertumbuha dinamik
unutuk menggambarkan sebaran yang biasanya
digunakan untuk memodelkan penyeybab penyebaran
infeksi suatu penyakit. Model SIR menggambarkan sistim
dinamik tiga fungsi , yaitu 𝑆 𝑡 , 𝐼 𝑡 𝑑𝑎𝑛 𝑅 𝑡 , yang
masing masing merupakan jumlah populasi yang
Suceptible, Infected, dan Removed. Model SIR digunakan
untuk memodelkan penyebarann penyakit spesifik pada
populasi di area tertentu dan dapat digunkaan untuk
memprerediksi kemungkinan jika suatu penyakit menjadi
wabah, sehingga analisis tindakan preventif untuk
mengontrol penyabaran dapat dilakukan.

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Model Matematika Penyebaran ISPA.pptx

1. MODEL MATEMATIKA PENYEBARAN ISPA JAKARTA DENGAN MEILHAT KORELASI TERHADAP FAKTOR IKLIM

2. TEMPORAL ◉ Richard Curve 𝐶 𝑡 = 𝐾 1 + 𝑒−𝑟𝜇 𝑡−𝑡1 1 𝜇 Dengan C(t) = Kasus Kumulatif K = Jumlah Kaus r= Laju Pertumbuhan 2 ◉ Model SIR Model SIR merupakan model pertumbuha dinamik unutuk menggambarkan sebaran yang biasanya digunakan untuk memodelkan penyeybab penyebaran infeksi suatu penyakit. Model SIR menggambarkan sistim dinamik tiga fungsi , yaitu 𝑆 𝑡 , 𝐼 𝑡 𝑑𝑎𝑛 𝑅 𝑡 , yang masing masing merupakan jumlah populasi yang Suceptible, Infected, dan Removed. Model SIR digunakan untuk memodelkan penyebarann penyakit spesifik pada populasi di area tertentu dan dapat digunkaan untuk memprerediksi kemungkinan jika suatu penyakit menjadi wabah, sehingga analisis tindakan preventif untuk mengontrol penyabaran dapat dilakukan.

3. Fitting kumulatif Jakarta Timur 3

4. Fitting kumulatif Jakarta Timur 4

5. Fitting Bulanan Jakarta Timur 5

6. Fitting Bulanan Jakarta Timur 6

7. Fitting kumulatif Jakarta Pusat 7

8. Fitting kumulatif Jakarta Pusat 8

9. Fitting Bulanan Jakarta Pusat 9

10. Fitting Bulanan Jakarta Pusat 10

11. Fitting kumulatif Jakarta Barat 11

12. Fitting kumulatif Jakarta Barat 12

13. Fitting Bulanan ISPA Jakarta Barat 13

14. Fitting Bulanan ISPA Jakarta Barat 14