Please use this identifier to cite or link to this item:
http://repository.ipb.ac.id/handle/123456789/109819
Title: | Model Matematika Ko-infeksi HIV/AIDS dan Cacar Monyet (Monkeypox) |
Authors: | Sianturi, Paian Kusnanto, Ali Luthfiani, Dini Dessya |
Issue Date: | 2021 |
Publisher: | IPB University |
Abstract: | Cacar monyet (monkeypox) adalah penyakit akibat virus yang ditularkan
melalui binatang. Penularan virus cacar monyet ke manusia dari hewan seperti
monyet dan hewan pengerat terjadi melalui kontak langsung atau mengonsumsi
daging hewan liar yang terkontaminasi. Dalam model ini, populasi hewan dibagi
menjadi tiga subpopulasi dan populasi manusia dibagi menjadi sembilan
subpopulasi. Hasil analisis diperoleh titik tetap bebas penyakit dan titik tetap
endemik. Hasil analisis sensitivitas menunjukkan bahwa laju penularan penyakit
dan rata-rata kontak individu merupakan parameter yang paling berpengaruh
dalam model. Dengan simulasi numerik, ditunjukkan juga bahwa penurunan laju
penularan dan kontak individu berbanding lurus dengan penurunan bilangan
reproduksi dasar sehingga berpengaruh untuk menekan peningkatan populasi
individu terinfeksi. Pertumbuhan populasi individu terinfeksi juga semakin
mengecil sehingga pengontrolan faktor ini akan mengakibatkan penyakit dapat
dikendalikan. Monkeypox is a disease caused by a virus that is transmitted through animals. The virus transmits monkeypox to human from animals such as monkeys and rodents through direct contact or consuming contaminated wild animals meat. The animal populations consist of three subpopulations and the human populations consist of nine subpopulations. The analysis result shows that there are disease free fixed point and endemic fixed point. Sensitivity analysis suggests that the rate of transmission and individual contact are the most influential parameters in models. Numerical simulations have also shown that decrease in the rate of transmission and individual contact is proportional to the decrease of basic reproduction number, thus moderating the increase of the population of the infected individuals. The growth of infected population is also getting smaller, so that controlling these factors can control the disease. |
URI: | http://repository.ipb.ac.id/handle/123456789/109819 |
Appears in Collections: | UT - Mathematics |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Cover, Lembar Pernyataan, Abstrak, Lembar Pengesahan, Prakata, Daftar Isi.pdf Restricted Access | Cover | 832.39 kB | Adobe PDF | View/Open |
G54160049_Dini Dessya Luthfiani.pdf Restricted Access | Fullteks | 3.73 MB | Adobe PDF | View/Open |
LAMPIRAN.pdf Restricted Access | Lampiran | 2.09 MB | Adobe PDF | View/Open |
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