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Journal : Communication in Biomathematical Sciences

Numerical Bifurcations and Sensitivity Analysis of an SIVPC Cervical Cancer Model Asih, Tri Sri Noor; Adi-Kusumo, Fajar; Wiraya, Ario; Forde, Jonathan
Communication in Biomathematical Sciences Vol. 7 No. 2 (2024)
Publisher : The Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2024.7.2.8

Abstract

We consider a mathematical model of cervical cancer based on the Natural History of Cervical Cancer. The model is a five dimensional system of the first order of ordinary differential equations that represents the interaction between the free Human Papilloma Virus (HPV) population and four cells sub-populations, i.e., the normal cells, infected cells by HPV, precancerous cells, and cancer cells. We focus our analysis to determine the existence conditions of the nontrivial equilibrium point, the bifurcations, and the sensitivity of the parameters that play important roles in metastasis. Based on the basic reproduction ratio of the system, we found that the infection rate, the new viruses production rate, the free viruses death rate, the infected cells growth rate, and the precancerous cells progression rate play important roles for the cancer spreads in the cellular level. By applying sensitivity and numerical bifurcation analysis, we found that there are some important bifurcations that trigger some irregular behaviours of the system, i.e., fold, Hopf, cusp and Bogdanov-Takens.
Co-Authors Adi Franata Jaya Adi Nur Cahyono Adi-Kusumo, Fajar Aditya, Rozak Ilham Afifah, Dewi Aulia Afriyanti, Ice Aini, Aulia Hurul ALISYAH, SITI NUR Amin Suyitno Anggraini, Lana Aristya ANINGSIH ANINGSIH Ardhi Prabowo Ardhini, Rosa Ary Arief Agoestanto Aulia Firdaus Azka, Maulida Zammalatul Azzahra, Nur Izzah Buwono, Iffah Sartika Dewi, Nuriana Rachmani Dian Kartika Sari, Dian Kartika Dwijanto Dwijanto Dwijanto Dwijanto, Dwijanto Emi Pujiastuti Endang Retno Winarti Farah Fitrotun Nisa’ Fitri Arum Sasi, Fitri Arum Forde, Jonathan Frida Anggraeni Setyowati Hardi Suyitno Haryanti, Monika Dwi Hendry Sugianto Hendry Sugianto herdiany, alvioneta dinda Hikmasari, Prihatina Ica, Asyifatun Nisa Iqbal Kharisudin Isnaini Rosyida Isnaini Rosyida, Isnaini Isnarto Isnarto, Isnarto Iwan junaedi Iwan Junaedi Iwan Junaedi Jannah, Reni Roikhatul Kartono Kartono - Kartono Kartono Katono, Kartono Khardita, Deby Kiki Komalia Konita, Mita Kumaralalita, Candrika Kusumaningtyas, Argi Ayu Sulistyani Lukmanul Akhsani Lukmanul Akhsani Lukmanul Akhsani Masrukan Masrukan Maulana, Bagus Surya Maulana, Fajar Maulida, Azwida Rosana Milna Wafirah Mohammad Asikin Muchammad Imron Muhammad Kharis Muhammad Kharis Mulyono Mulyono Naina Rizki Kenarni Novegitasari, Yenatin Nugroho, Muhammad Andi Nunik Sutrisni Nur Hasanah Nurhayati, Rini Nurul Fadhilah Paramitha, Witha Pertiwi, Diyah Esti Cahyo Priyonggo, Hendi Widi R Susanti Reni Roikhatul Jannah Riska Laila Mukaromah Riza Arifudin Rochmad - Rohmatunnisa, Haya Rosa Ary Ardhini S B Waluya S. B. Waluya, S. B. Safaatullah, Muhammad Fajar Scolastika Mariani Siti Nur Hidayati St. Budi Waluya Sugianto - Suryonegoro, Bayu Murti Syaharani, Erdita Aulia Syahrudin Syahrudin, Syahrudin Talitha Widiatningrum Wardono Wardono Wicaksono, Dhanang Bayu Widyaswara, Ikha Brillyani Wiraya, Ario Yenatin Novegitasari Zaenuri Mastur Zakiri, Ishmah Khairina Zakkia, Agustin