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All Journal Jurnal Office BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Edumaspul: Jurnal Pendidikan DIDAKTIKA : Jurnal Kependidikan Global Science Education Journal Equals : Jurnal Ilmiah Pendidikan Matematika Maspul Journal of Community Empowerment An Nisa' Jambura Journal of Biomathematics (JJBM) Pedagogy : Jurnal Pendidikan Matematika Jurnal Pengabdian Mandiri Jurnal Ngejha ABDI UNISAP: Jurnal Pengabdian Kepada Masyarakat Jurnal Hasil-Hasil Pengabdian dan Pemberdayaan Masyarakat (JHP2M)
Sugian Nurwijaya
Pendidikan Matematika, PSDKU Universitas Pattimura
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Journal : BAREKENG: Jurnal Ilmu Matematika dan Terapan

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DYNAMICAL SYSTEM FOR EBOLA OUTBREAK WITHIN QUARANTINE AND VACCINATION TREATMENTS Sugian Nurwijaya; Ratnah Kurniati MA; Sigit Sugiarto
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss2pp0615-0624

Abstract

Ebola Virus Disease (EVD) is an infectious disease with a high mortality rate which is caused by the virus from the family of Filoviridae, genus of Ebolavirus. Therefore, this research works on the developing model of Ebola disease spread with SLSHVEQIHR type. The purpose of this study is to analyze the spread of Ebola disease with the treatments, which are quarantine and vaccination. Then determine the equilibrium point and basic reproduction number (R0). There are two equilibrium points, the disease free equilibrium point and the endemic equilibrium point. The analysis results in the model show that if R0<1 than the disease free equilibrium point is locally asymptotically stable. If R0>1 than the endemic equilibrium point is locally assymptotically stable. Numerical simulations are performed to show the population dynamics when R0<1and R0>1.
DYNAMICAL SYSTEM FOR COVID-19 OUTBREAK WITHIN VACCINATION TREATMENT Sigit Sugiarto; Ratnah Kurniati MA; Sugian Nurwijaya
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss2pp0919-0930

Abstract

Covid-19 is a deadly infectious disease that occurs throughout the world. Therefore, it is necessary to prevent the transmission of Covid-19 such as vaccination. The purpose of this research is to modify the model of the spread of the Covid-19 disease from the previous model. The equilibrium points and the basic reproduction number ( ) of the modified model is determined. Then a stability analysis was carried out and a numerical simulation was carried out to see the dynamics of the population that occurred. The analysis performed on the model obtained two equilibriums, namely the disease-freeequilibrium and the endemic equilibrium. Disease-free equilibrium are locally asymptotically stable if . Meanwhile, the endemic equilibrium is locally asymptotically stable if . The numerical simulation results show the same results as the analytical results.
Co-Authors Abdul Rahman Ansiska, Paisal Asmirani Alam Asriadi Asriadi Dian Rubiana Suherman Edy Sony Fransheine Rumtutuly Hardiyanti Hardiyanti Lestari Lestari M. Awaluddin MA, Ratnah Kurniati Pratiwi Bernadetta Purba Purba, Pratiwi Bernadetta Putriyani Samsul Ratnah Kurniati Sakir, Ahmad Rosandi Sandi Sandi Sigit Sugiarto Sigit Sugiarto Sitti Fatimah Kamaruddin Suarti Djafar