MODEL MATEMATIKA TRANSMISI HUMAN PAPILLOMAVIRUS (HPV) PADA PENYAKIT KANKER SERVIKS

Authors

  • Muhammad Manaqib Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah
  • Irma Fauziah Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah
  • Wahyu Triwulan Asih Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

DOI:

https://doi.org/10.25077/jmua.11.4.230-245.2022

Abstract

Penelitian ini menggunakan model SVICTR untuk memodelkan transmisi
Human Papillomavirus (HPV) pada penyakit kanker serviks. Populasi dibagi menjadi
enam subpopulasi yaitu subpopulasi rentan, subpopulasi yang melakukan vaksinasi
HPV dengan vaksin paling efektif, subpopulasi terinfeksi virus HPV, subpopulasi pengidap kanker serviks, subpopulasi yang melakukan treatment kanker serviks, dan subpopulasi removed. Dari model yang dibentuk diperoleh dua titik ekuilibrium yaitu titik ekuilibrium bebas penyakit dan titik ekulibrium endemik serta bilangan reproduksi dasar (R0). Titik ekuilibrium bebas penyakit stabil asimtotik lokal saat R0 < 1. Simulasi numerik titik ekuilibrium bebas penyakit dilakukan untuk memberikan gambaran geometris terkait hasil yang telah dianalisis dengan nilai parameter yang diambil dari beberapa sumber. Hasil analisis numerik sesuai dengan analisis yang dilakukan bahwa penyakit akan menghilang jika R0 < 1 dan menetap dalam populasi jika R0 > 1. Berdasarakan analisis sensitivitas, parameter yang paling berpengaruh adalah laju kontak dengan individu
terinfeksi dan laju individu yang divaksinasi HPV

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References

Kemenkes RI, “Situasi Kesehatan Reproduksi Remaja,†Situasi Kesehatan Reproduksi Remaja, no. Remaja. pp. 1–8, 2017, [Online]. Available: https://www.kemkes.go.id/download.php?file=download/pusdatin/infodatin/infodatin reproduksi remaja-ed.pdf.

A. F. Rositch et al., “Knowledge and acceptability of Pap smears, self-sampling and HPV vaccination among adult women in Kenya,†PLoS One, vol. 7, no. 7, 2012, doi: 10.1371/journal.pone.0040766.

N. Shaban and H. Mofi, “Modelling the impact of vaccination and screening on the dynamics of human papillomavirus infection,†Int. J. Math. Anal., vol. 8, no. 9–12, pp. 441–454, 2014, doi: 10.12988/ijma.2014.312302.

D. Setiawati, “Human Papilloma Virus Dan Kanker Serviks,†Al-Sihah Public Heal. Sci., vol. VI, no. 2, pp. 450–459, 2014, [Online]. Available:

https://journal.uin-alauddin.ac.id/index.php/Al-Sihah/article/view/1969.

â€What are the Risk Factor for Cervical Cancer?,†Centers for Disease

Control and Prevention, 12 Januari 2021. [Online]. Available:

https://www.cdc.gov/cancer/cervical/basicinfo/riskfactors.htm [Accessed 21Januari 2021].

H. I. Hyacinth, O. A. Adekeye, J. N. Ibeh, and T. Osoba, “Cervical Cancer and Pap Smear Awareness and Utilization of Pap Smear Test among Federal Civil Servants in North Central Nigeria,†PLoS One, vol. 7, no. 10, pp. 1–8, 2012, doi: 10.1371/journal.pone.0046583.

Dewi, A.R., Nurdiamah, E., dan Achadiyani., â€PEMBENTUKAN KADER KESEHATAN UNTUK MENINGKATKAN PENGETAHUAN DAN KEMAMPUAN

MELAKUKAN DETEKSI DINI KANKER YANG SERING TERJADI

PADA WANITA DI DESA SUKAMANAH DAN DESA CIHAURKUNING,

KECAMATAN MALANGBONG KABUPATEN GARUT,†Jurnal Aplikasi

Iptek untuk Masyarakat, vol. 2, no. 2, pp. 78-84, 2013.

canreg. fkkmk, “RKBR Januari 2020 – canreg.fk.ugm.ac.id,†Ugm.ac.id, 1 januari 2020 [Online]. Available: https://canreg.fk.ugm.ac.id/laporandata/registrasi-kanker-berbasis-rumah-sakit-dr-sardjito-fkkmk-ugm/januari-2020/ [Accessed 25 Januari 2021].

A. S. Rahayu, “Inveksi Human Papilloma Virus ( HPV ) dan Pencegahannya pada Remaja dan Dewasa Muda,†J. Biol. Papua, vol. 2, no. 2, pp. 81–88, 2018.

M. Manaqib, I. Fauziah, and M. Mujiyanti, “Mathematical Model for MERSCOV Disease Transmission with Medical Mask Usage and Vaccination,†Inpr. Indones. J. Pure Appl. Math., vol. 1, no. 2, pp. 30–42, 2019, doi: 10.15408/inprime.

W. Obeng-Denteh, R. Afrifa, B. Barnes, and K. Addo, “Modeling the Epidemiology of Human Papilloma Virus Infection and Vaccination and Its Impact on Cervical Cancer in Ghana,†J. Sci. Res. Reports, vol. 3, no. 19, pp. 2501–2518, 2014, doi: 10.9734/jsrr/2014/11019.

E. D. Gurmu and P. R. Koya, “Impact of Chemotherapy treatment on SITR Compartmentalization and Modeling of Human Papilloma Virus,†vol. 15, no. 3, pp. 17–29, 2019, doi: 10.9790/5728-1503011729.

A. Engida Sado, “Mathematical Modeling of Cervical Cancer with HPV Transmission and Vaccination,†Sci. J. Appl. Math. Stat., vol. 7, no. 2, p. 21, 2019, doi: 10.11648/j.sjams.20190702.13.

H. Lv, L. Fei, Z. Yuan, and F. Zhang, “Global Dynamic Analysis of a Vector-Borne Plant Disease Model with Discontinuous Treatment,†Appl. Math., vol.09, no. 05, pp. 496–511, 2018, doi: 10.4236/am.2018.95036.

“Hasil Sensus Penduduk 2020,†Badan Pusat Statistik, 21 Januari 2021.[Online]. Tersedia: https://www.bps.go.id/news/2021/01/21/405/bps–270-20-j[Accessed 18 Februari 2021].

E. Dadi Gurmu and P. Rao Koya, “Sensitivity Analysis and Modeling

the Impact of Screening on the Transmission Dynamics of Human Papilloma Virus (HPV),†Am. J. Appl. Math., vol. 7, no. 3, p. 70, 2019, doi: 10.11648/j.ajam.20190703.11.

“HPV Vaccine Information For Young Women,†Centers for Disease Control and Prevention,†28 Desember 2016. [Online]. Available: https://www.cdc.gov/std/hpv/stdfacthpv- vaccine-young-women.htm [Accessed 23 Januari 2021]

“Human Papillomavirus (HPV) Vaccination,†Centers for Disease Control and Prevention,†17 Maret 2020. [Online]. Available:

https://www.cdc.gov/vaccines/vpd/hpv/public/index.html [Accessed 22

Model Matematika Transmisi Human Papillomavirus (HPV) pada Penyakit Kanker Serviks 15 Januari 2021].

Suputra, Putu Adi dan Lestari, Ni Made Sri Dewi, Halodoc, [Online]. Available: https://www.halodoc.com [Accessed 27 April 2021].

“Treating Cervical Cancer,†American Cancer Society, 3 Januari 2020. [Online]. Available: ttps://www.cancer.org/cancer/cervicalcancer/

treating/surgery.html [Accessed 19 April 2021].

Annisa Hapsari, “8 Hal Penting Selama Pemulihan Setelah Kanker Serviks,†Hello Sehat, 12 Januari 2017. [Online]. Available: https://hellosehat.com/kanker/kanker-serviks/pemulihansetelah-

kanker-serviks/ [Accessed 19 April 2021].

“Cervical Cancer Stage,†Cancer Treatment Centers of America, 4

November 2020. [Online]. Available:https://www.cancercenter.com/cancertypes/cervical-cancer/stages [Accessed 20 Februari 2021].

R. Resmawan and L. Yahya, “Sensitifity Analysis of Mathematical Model of Coronavirus Disease (COVID-19) Transmission,†Cauchy, vol. 6, no. 2, p. 91,2020, doi: 10.18860/ca.v6i2.9165.

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Published

23-12-2022

How to Cite

Manaqib, M., Fauziah, I., & Asih, W. T. (2022). MODEL MATEMATIKA TRANSMISI HUMAN PAPILLOMAVIRUS (HPV) PADA PENYAKIT KANKER SERVIKS. Jurnal Matematika UNAND, 11(4), 230–245. https://doi.org/10.25077/jmua.11.4.230-245.2022

Issue

Vol. 11 No. 4 (2022)

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