ANALISIS PERILAKU MODEL SIR TANPA DAN DENGAN VAKSINASI
Vaccination is one of the methods to control and prevent the spread of infectious diseases. SIR model (susceptible, infected, recovered) without and with vaccination were developed. The behavior of the solutions of the two models is analyzed through stability analysis around the equilibrium points....
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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/1592 |
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| author | Julia Indah Pertiwi Arrival Rince Putri Efendi Efendi |
| author_facet | Julia Indah Pertiwi Arrival Rince Putri Efendi Efendi |
| author_sort | Julia Indah Pertiwi |
| collection | DOAJ |
| description | Vaccination is one of the methods to control and prevent the spread of infectious diseases. SIR model (susceptible, infected, recovered) without and with vaccination were developed. The behavior of the solutions of the two models is analyzed through stability analysis around the equilibrium points. The stability is also associated with a threshold number indicating the population is free or infected. Analytical results are confirmed with numerical results that are presented on the graphic solution and phase portrait. The results of numerical simulations conclude that vaccination is more effective for inhibiting the transmission of the disease than without vaccination |
| format | Article |
| id | doaj-art-7efeda07f0d34624bb72b5337c145297 |
| 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-7efeda07f0d34624bb72b5337c1452972025-08-20T04:00:55ZengUniversitas PattimuraBarekeng1978-72272615-30172020-06-0114221722610.30598/barekengvol14iss2pp217-2261592ANALISIS PERILAKU MODEL SIR TANPA DAN DENGAN VAKSINASIJulia Indah Pertiwi0Arrival Rince Putri1Efendi Efendi2Universitas AndalasDepartment of Mathematics, Andalas UniversityUniversitas AndalasVaccination is one of the methods to control and prevent the spread of infectious diseases. SIR model (susceptible, infected, recovered) without and with vaccination were developed. The behavior of the solutions of the two models is analyzed through stability analysis around the equilibrium points. The stability is also associated with a threshold number indicating the population is free or infected. Analytical results are confirmed with numerical results that are presented on the graphic solution and phase portrait. The results of numerical simulations conclude that vaccination is more effective for inhibiting the transmission of the disease than without vaccinationhttps://ojs3.unpatti.ac.id/index.php/barekeng/article/view/1592sir modelvaccination, stabilitythreshold numbernumerical |
| spellingShingle | Julia Indah Pertiwi Arrival Rince Putri Efendi Efendi ANALISIS PERILAKU MODEL SIR TANPA DAN DENGAN VAKSINASI Barekeng sir model vaccination, stability threshold number numerical |
| title | ANALISIS PERILAKU MODEL SIR TANPA DAN DENGAN VAKSINASI |
| title_full | ANALISIS PERILAKU MODEL SIR TANPA DAN DENGAN VAKSINASI |
| title_fullStr | ANALISIS PERILAKU MODEL SIR TANPA DAN DENGAN VAKSINASI |
| title_full_unstemmed | ANALISIS PERILAKU MODEL SIR TANPA DAN DENGAN VAKSINASI |
| title_short | ANALISIS PERILAKU MODEL SIR TANPA DAN DENGAN VAKSINASI |
| title_sort | analisis perilaku model sir tanpa dan dengan vaksinasi |
| topic | sir model vaccination, stability threshold number numerical |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/1592 |
| work_keys_str_mv | AT juliaindahpertiwi analisisperilakumodelsirtanpadandenganvaksinasi AT arrivalrinceputri analisisperilakumodelsirtanpadandenganvaksinasi AT efendiefendi analisisperilakumodelsirtanpadandenganvaksinasi |