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All Journal Media Statistika Jurnal Ilmu Dasar Jurnal Sains Dasar Journal of Mathematics Education and Application (JMEA) Journal of Natural Sciences and Mathematics Research Edu Sains: Jurnal Pendidikan Sains dan Matematika JMPM: Jurnal Matematika dan Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Journals of Ners Community Jurnal Matematika UNAND Dinasti International Journal of Economics, Finance & Accounting (DIJEFA) Jambura Journal of Biomathematics (JJBM) Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi JES-MAT (Jurnal Edukasi dan Sains Matematika) Pakem : Jurnal Pengabdian Kepada Masyarakat Research in the Mathematical and Natural Sciences Journal of Educational Sciences Pattimura International Journal of Mathematics (PIJMath) Jurnal Riset Mahasiswa Matematika Innovative: Journal Of Social Science Research Hexagon: Jurnal Ilmu dan Pendidikan Matematika Journal of Mathematics, Computation and Statistics (JMATHCOS)
Nurwan, Nurwan
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Journal : Jambura Journal of Biomathematics (JJBM)

 1 
Analisis dinamik model SVEIR pada penyebaran penyakit campak Ahaya, Sitty Oriza Sativa Putri; Rahmi, Emli; Nurwan, Nurwan
Jambura Journal of Biomathematics (JJBM) Volume 1, Issue 2: December 2020
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v1i2.8482

Abstract

In this article, we analyze the dynamics of measles transmission model with vaccination via an SVEIR epidemic model. The total population is divided into five compartments, namely the Susceptible, Vaccinated, Exposed, Infected, and Recovered populations. Firstly, we determine the equilibrium points and their local asymptotically stability properties presented by the basic reproduction number R0. It is found that the disease free equilibrium point is locally asymptotically stable if satisfies R01 and the endemic equilibrium point is locally asymptotically stable when R01. We also show the existence of forward bifurcation driven by some parameters that influence the basic reproduction number R0 i.e., the infection rate Î± or proportion of vaccinated individuals θ. Lastly, some numerical simulations are performed to support our analytical results.
Model matematika SMEIUR pada penyebaran penyakit campak dengan faktor pengobatan Hubu, Anisa Fitra Dila; Achmad, Novianita; Nurwan, Nurwan
Jambura Journal of Biomathematics (JJBM) Volume 1, Issue 2: December 2020
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v1i2.7970

Abstract

This study discusses the spread of measles in a mathematical model. Mathematical modeling is not only limited to the world of mathematics but can also be applied in the health sector. Measles is a disease with a high transmission rate. The spread of measles in this model was modified by adding the treated population and the treatment parameters of the exposed population. In this article, we examine the equilibrium points in the SMEIUR mathematical model and perform stability analysis and numerical simulations. In this study, two equilibrium points were obtained, namely the disease-free and endemic equilibrium point. After getting the equilibrium point, an analysis is carried out to find the stability of the model. Furthermore, the simulation produces a stable disease-free equilibrium point at conditions R01 and a stable endemic equilibrium point at conditions R01. In this study, a numerical simulation was carried out to see population dynamics by varying the parameter values. The simulation results show that to reduce the spread of measles, it is necessary to increase the rate of advanced immunization, the rate of the infected population undergoing treatment, and the proportion of individuals who are treated cured.
Co-Authors Abdul Wahab Abdulah, Siska Agusyarif Rezka Nuha Ahaya, Sitty Oriza Sativa Putri Armayani Arsal Artes Jr., Rosalio Aryasandi, I Wayan Can Asriadi Asriadi Aswi, Aswi Awi, Awi Aznaim, Aznaim Barham, Siti Maryam Bertu Rianto Takaendengan Bilondatu, Rosna Ningsih Buhungo, Rayhanul Jannah Cramb, Susanna Dewi Rahmawaty Isa Djafar, Fitria Djihad Wungguli Evi Hulukati Fatmawati, Ainun Fitriyah, Aini Franky Alfrits Oroh Hamid Habbe, Abdul Harmain, Ismail Saputra R. Hubu, Anisa Fitra Dila Husain, Moh Rizal Ifan Wiranto Isa, Jefri N. Ismail, Sri Rahmawati Isnawati, Ayus Riana Isran K Hasan Jr, Rosalio Artes Jusuf, Anryan K. Hasan, Isran K. Nasib, Salmun Kartin Usman Kobandaha, Putri Ekawaty Lailany Yahya Laiya, Gusti Hari Fajar Lakisa, Narti Macmud, Tedy Majid, Majid Mile, Abdul Rasyid Muanalifah, Any Muhammad Arif Tiro, Muhammad Arif Muhammad Rezky F. Payu NISKY IMANSYAH YAHYA Nteseo, Sutriany Nurdin, Sri Ayu Paudi, Rivka Perry Zakaria Pomahiya, Saiful Rahim, Delvira Masita Rahmi, Emli Ramadiana, Anastasya Rauf, Dewi Nur Angriani Rauf, Moh Dody Afandi Resmawan Resmawan Sagita, Yuli Salmun K. Nasib Sari, Lia Nanda Sembiring, Rinawati Siti Zakiyah Stella Junus Sudarmin Sudarmin Sukarna Sukarna Sumarno Ismail Syamsu Qomar Badu Usali, Rahmayunda Usman, Susanti Utina, Fitriani Yamin Ismail Yanuari, Eka Dicky D Yuanita Syaiful