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All Journal Zero : Jurnal Sains, Matematika, dan Terapan
Prayoga, Anggi
Universitas Islam Negeri Sultan Syarif Kasim Riau
Agriculture, Biological Sciences & Forestry Chemistry Mathematics Physics

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Stability of Cervical Cancer Model by Human Papillomavirrus (HPV) with Migration Suryani, Irma; Soleh, Mohammad; Wartono, Wartono; Prayoga, Anggi; Fahlezi, Boby
ZERO: Jurnal Sains, Matematika dan Terapan Vol 8, No 1 (2024): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v8i1.16137

Abstract

Cervical cancer is a chronic disease that attacks the cervix. This disease is caused by the human papillomavirus (HPV). Over time, cervical cancer is modeled with a mathematical model to describe the development of its spread. In this study, cervical cancer is modeled into four subpopulations; susceptible subpopulation (S), HPV-infected subpopulation (I), infected but not infected with cervical cancer (U) and infected and infected with cervical cancer (C). The SIUC model is then added to the existence of migration within the population. Furthermore, the equilibrium of the model is determine and its stability is analyzed using the Jacobian matrix and eigenvalues. The result is that there are two equilibrium points, namely the disease-free equilibrium point and the endemic equilibrium point. The disease-free equilibrium point is asymptotically stable if the eigenvalue conditions are met. The endemic equilibrium point is stable if the eigenvalues are met. Furthermore, the numerical simulation model shows that migration that occurs within the population can cause cervical cancer to still exist in the population because the contact rate is getting bigger
Co-Authors Fahlezi, Boby Soleh, Mohammad Suryani, Irma Wartono, Wartono