DINAMIKA LOKAL MODEL EPIDEMI SVIR DENGAN IMIGRASI PADA KOMPARTEMEN VAKSINASI
This article is included in the scope of mathematical epidemiology. The purpose of this article is to describe the dynamics of the spread of disease with some assumptions given. In this paper, we present an epidemic SVIR model with the presence of immigration in the vaccine compartment. The analysis...
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| Format: | Article |
| Language: | English |
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Universitas Pattimura
2020-06-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/1875 |
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| author | Joko Harianto Titik Suparwati Inda Puspita Sari |
| author_facet | Joko Harianto Titik Suparwati Inda Puspita Sari |
| author_sort | Joko Harianto |
| collection | DOAJ |
| description | This article is included in the scope of mathematical epidemiology. The purpose of this article is to describe the dynamics of the spread of disease with some assumptions given. In this paper, we present an epidemic SVIR model with the presence of immigration in the vaccine compartment. The analysis of equilibrium point stability discussed only local stability. First, we formulate the SVIR model, then the equilibrium point is determined, furthermore, the basic reproduction number is determined. In the end, the stability of the equilibrium point is determined depending on the number of basic reproduction. The result is that if the basic reproduction number is less than one then there is a unique equilibrium point and the equilibrium point is locally asymptotically stable. This means that in those conditions the disease will tend to disappear in the population. Conversely, if the basic reproduction number is more than one, then there are two equilibrium points. The endemic equilibrium point is locally asymptotically stable and the disease-free equilibrium point is unstable. This means that in those conditions the disease will remain in the population |
| format | Article |
| id | doaj-art-7db9ece23c4d40fa909d1bd688d3dfae |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2020-06-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-7db9ece23c4d40fa909d1bd688d3dfae2025-08-20T03:36:12ZengUniversitas PattimuraBarekeng1978-72272615-30172020-06-0114229330010.30598/barekengvol14iss2pp293-3001875DINAMIKA LOKAL MODEL EPIDEMI SVIR DENGAN IMIGRASI PADA KOMPARTEMEN VAKSINASIJoko Harianto0Titik Suparwati1Inda Puspita Sari2Cenderawasih UniversityUniversitas CenderawasihUniversitas CenderawasihThis article is included in the scope of mathematical epidemiology. The purpose of this article is to describe the dynamics of the spread of disease with some assumptions given. In this paper, we present an epidemic SVIR model with the presence of immigration in the vaccine compartment. The analysis of equilibrium point stability discussed only local stability. First, we formulate the SVIR model, then the equilibrium point is determined, furthermore, the basic reproduction number is determined. In the end, the stability of the equilibrium point is determined depending on the number of basic reproduction. The result is that if the basic reproduction number is less than one then there is a unique equilibrium point and the equilibrium point is locally asymptotically stable. This means that in those conditions the disease will tend to disappear in the population. Conversely, if the basic reproduction number is more than one, then there are two equilibrium points. The endemic equilibrium point is locally asymptotically stable and the disease-free equilibrium point is unstable. This means that in those conditions the disease will remain in the populationhttps://ojs3.unpatti.ac.id/index.php/barekeng/article/view/1875svir modellocally asymptotically stable |
| spellingShingle | Joko Harianto Titik Suparwati Inda Puspita Sari DINAMIKA LOKAL MODEL EPIDEMI SVIR DENGAN IMIGRASI PADA KOMPARTEMEN VAKSINASI Barekeng svir model locally asymptotically stable |
| title | DINAMIKA LOKAL MODEL EPIDEMI SVIR DENGAN IMIGRASI PADA KOMPARTEMEN VAKSINASI |
| title_full | DINAMIKA LOKAL MODEL EPIDEMI SVIR DENGAN IMIGRASI PADA KOMPARTEMEN VAKSINASI |
| title_fullStr | DINAMIKA LOKAL MODEL EPIDEMI SVIR DENGAN IMIGRASI PADA KOMPARTEMEN VAKSINASI |
| title_full_unstemmed | DINAMIKA LOKAL MODEL EPIDEMI SVIR DENGAN IMIGRASI PADA KOMPARTEMEN VAKSINASI |
| title_short | DINAMIKA LOKAL MODEL EPIDEMI SVIR DENGAN IMIGRASI PADA KOMPARTEMEN VAKSINASI |
| title_sort | dinamika lokal model epidemi svir dengan imigrasi pada kompartemen vaksinasi |
| topic | svir model locally asymptotically stable |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/1875 |
| work_keys_str_mv | AT jokoharianto dinamikalokalmodelepidemisvirdenganimigrasipadakompartemenvaksinasi AT titiksuparwati dinamikalokalmodelepidemisvirdenganimigrasipadakompartemenvaksinasi AT indapuspitasari dinamikalokalmodelepidemisvirdenganimigrasipadakompartemenvaksinasi |