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All Journal Natural Science: Journal of Science and Technology Jurnal Vektor Penyakit Sistemasi: Jurnal Sistem Informasi JURNAL ILMIAH MATEMATIKA DAN TERAPAN Communication in Biomathematical Sciences Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Transcendent Journal of Mathematics and Applications
Rina Ratianingsih
Department Of Mathematics, Faculty Of Mathematics And Natural Sciences , Tadulako University, Palu, Indonesia
Computer Science & IT Economics, Econometrics & Finance Electrical & Electronics Engineering Environmental Science Health Professions Immunology & microbiology Mathematics Physics Public Health Social Sciences Veterinary

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Journal : Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi

 1 
Analisis Kestabilan Lokal pada Model SEIR Patogenesis Frambusia dengan Infeksi Primer-Sekunder dan Tersier Lasongke, Fahri Alam; Puspita, Juni Wijayanti; Ratianingsih, Rina; Utami, Vicya; Salman, Salman
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 12 Issue 2 December 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i2.27847

Abstract

Yaws is a skin disease characterized by red spots that can worsen if not treated promptly. This disease is caused by the bacteria Treponema Pallidum Pertenue. The symptoms of yaws have five stages, namely the primary stage, primary to secondary latent stage, secondary stage, secondary to tertiary latent stage, and tertiary stage. A mathematical model is one solution to describe the prognosis of yaws disease. Here, the population was divided into 5 sub-populations, namely susceptible sub-population, exposed sub-population, infected sub-population in the primary and secondary stages, infected sub-population in the tertiary stage, and recovered sub-population. The mathematical model of the spread of yaws disease is written as a system of nonlinear differential equations whose stability is analyzed around the critical point. From the system of differential equations, two critical points are obtained which describe the disease-free condition and the endemic condition. In this study, the existence and stability of both critical points can be guaranteed. Furthermore, numerical simulations were conducted using yaws disease data in Indonesia. Simulation results show that the transmission of yaws disease in Indonesia can be controlled by reducing contact between the primary-secondary infected population and the susceptible population.
Co-Authors Abdul Mahatir Najar Abu, M Aditya, A P Agus Indra Jaya Agusman Sahari Ahmad, M T Aldri Frinaldi Aliyanti, N Asran, Erni Azim Chijra Dafri, M Desy Lusiyanti Endang Susilawati Fadilah, R Fauji, M Febrianti, I Febrianti, Ratih Govan, Govan Gusmawan, T Gusni, Gusni Hajar Hajar Hardiyanti Hasbi Hasnawati Hasnawati Hayani Anastasia Husnah, Siti I Wati I Wayan Sudarsana Ica Murwanti Indra Wati Islami, N Ismail, M S Ismawati, Nurul J. W. Puspitaa Jaya, A I Juni Wijayanti Puspita Kamisi, N Karini, I Khairiah, J Kurniawan, B Landita, A Lasongke, Fahri Alam Maasawet, R R Marwan Marwan Maulidyani Abu Megawati Muliyani, N Mustakim, J R Mutmainnah, M Nasria Nacong Nildawati, Nildawati Nirmalasari, Ririn Nuranisa, Nuranisa Nurannisa Nurhidayah Nurhidayah Nurul Ismawati Nyamun, Suwito S Peole, I N Prahasti, Syafira Pratiwi, G A Puragombo, Rista Puspita, J W Rivaldi, Rivaldi Rosida Rosida Rusmi, Rusmi Sahari, A Salman Salman samarang samarang Sato, M Sehani, A Setiawaty, R Sibi, Rika Sudirman Sudirman Tadjuka, M A Triwidodo, G Utami, Vicya Wahyudin, A Wahyuni, Ni Luh Sri windy rusma astuti Yahya, R A Yulinda yulinda