DYNAMICAL SYSTEM FOR EBOLA OUTBREAK WITHIN QUARANTINE AND VACCINATION TREATMENTS
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...
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Universitas Pattimura
2023-06-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6677 |
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| author | Sugian Nurwijaya Ratnah Kurniati MA Sigit Sugiarto |
| author_facet | Sugian Nurwijaya Ratnah Kurniati MA Sigit Sugiarto |
| author_sort | Sugian Nurwijaya |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2af54d330c7247caa6bb33dfc4069091 |
| institution | DOAJ |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-2af54d330c7247caa6bb33dfc40690912025-08-20T03:05:41ZengUniversitas PattimuraBarekeng1978-72272615-30172023-06-011720615062410.30598/barekengvol17iss2pp0615-06246677DYNAMICAL SYSTEM FOR EBOLA OUTBREAK WITHIN QUARANTINE AND VACCINATION TREATMENTSSugian Nurwijaya0Ratnah Kurniati MA1Sigit Sugiarto2Department of Mathematics Education, Study Program Outside the Main Campus (PSDKU), University of Pattimura, IndonesiaDepartment of Mathematics Education, Study Program Outside the Main Campus (PSDKU), University of Pattimura, IndonesiaDepartment of Mathematics Education, Study Program Outside the Main Campus (PSDKU), University of Pattimura, IndonesiaEbola 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.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6677dynamical systemebola virus diseaseequilibrium pointstability analysis |
| spellingShingle | Sugian Nurwijaya Ratnah Kurniati MA Sigit Sugiarto DYNAMICAL SYSTEM FOR EBOLA OUTBREAK WITHIN QUARANTINE AND VACCINATION TREATMENTS Barekeng dynamical system ebola virus disease equilibrium point stability analysis |
| title | DYNAMICAL SYSTEM FOR EBOLA OUTBREAK WITHIN QUARANTINE AND VACCINATION TREATMENTS |
| title_full | DYNAMICAL SYSTEM FOR EBOLA OUTBREAK WITHIN QUARANTINE AND VACCINATION TREATMENTS |
| title_fullStr | DYNAMICAL SYSTEM FOR EBOLA OUTBREAK WITHIN QUARANTINE AND VACCINATION TREATMENTS |
| title_full_unstemmed | DYNAMICAL SYSTEM FOR EBOLA OUTBREAK WITHIN QUARANTINE AND VACCINATION TREATMENTS |
| title_short | DYNAMICAL SYSTEM FOR EBOLA OUTBREAK WITHIN QUARANTINE AND VACCINATION TREATMENTS |
| title_sort | dynamical system for ebola outbreak within quarantine and vaccination treatments |
| topic | dynamical system ebola virus disease equilibrium point stability analysis |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6677 |
| work_keys_str_mv | AT sugiannurwijaya dynamicalsystemforebolaoutbreakwithinquarantineandvaccinationtreatments AT ratnahkurniatima dynamicalsystemforebolaoutbreakwithinquarantineandvaccinationtreatments AT sigitsugiarto dynamicalsystemforebolaoutbreakwithinquarantineandvaccinationtreatments |