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PEMODELAN MATEMATIKA EPIDEMI INFLUENZA DENGAN MEMPERHATIKAN PELUANG KEBERHASILAN VAKSINASI DAN KEKEBALAN TETAP

Unnes Journal of Mathematics · Vol. 5 No. 2 (2017) · hlm. 190–200

DOI
10.15294/ujm.v5i2.13132
ISSN
2460-5859, 2252-6943
Terbit
2017-02-27
Penerbit
Universitas Negeri Semarang
Bahasa
eng

Abstrak

This study reviews about a mathematical model for influenza epidemic. The mathematical model used is in the form of SIR epidemic models.This model considerates the factors of vaccination as a prevention of influenza diseases spread and immunity remains of each person who has recovered from the disease. In this research, it is conducted the study concerning the mathematical model of influenza epidemics by considering the chances of vaccination success and immunity remains, analysis of equilibrium and stability of the model, as well as model simulation and interpretation of model behavior. The method used is literature review, laboratory studies and analysis. The first step in this research is to determine the problem, formulate the problem, literature review, analysis and problem solving as well as the conclusion. As the results, it is obtained a model with four variable and nine parameters. From the model obtained an equilibrium point that is disease free equilibrium point which is stable asymptotically on R0 1. Furthermore, It is concluded that there is no possibility of widespreadoutbreaks and a geometric overview is given in the form of simulation with Maple 12 program.

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  • State University of Semarang
  • International Islamic University Malaysia
  • Institut Teknologi Sepuluh Nopember
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  • Organisasi berbeda
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Rekan penulisOrganisasiArtikel bersama
Stevanus Budi WaluyaAfiliasi tidak diketahui4
Moch ChotimAfiliasi tidak diketahui3
Rochmad RochmadInternational Islamic University Malaysia2
Endang SugihartiState University of Semarang1
Fajar Eska PradhanaAfiliasi tidak diketahui1
Allief NashrullahAfiliasi tidak diketahui1
Supriyono SupriyonoAfiliasi tidak diketahui1
Ardian Dwi AnggoroAfiliasi tidak diketahui1
Supriyono SupriyonoAfiliasi tidak diketahui1
Retno Dwi AstutiAfiliasi tidak diketahui1
Joko PrasetyoInstitut Teknologi Sepuluh Nopember1
Wuryanto WuryantoAfiliasi tidak diketahui1
Siti KholisohAfiliasi tidak diketahui1
Frestika Setiani Sya'baningtyasAfiliasi tidak diketahui1
Julia UlfahAfiliasi tidak diketahui1
Putri WijayantiAfiliasi tidak diketahui1
Gina PuspitaAfiliasi tidak diketahui1
Supriyono SupriyonoAfiliasi tidak diketahui1
Zaidin AsyabahAfiliasi tidak diketahui1
Putriaji HendikawatiState University of Semarang1
Novia Nilam NurlazuardiniAfiliasi tidak diketahui1
Yanuar Chaerul UmamAfiliasi tidak diketahui1
Supriyono SupriyonoAfiliasi tidak diketahui1
lida MawartiAfiliasi tidak diketahui1
Sugiman SugimanAfiliasi tidak diketahui1
Ramadhani TrihartantoAfiliasi tidak diketahui1
Supriyono SupriyonoAfiliasi tidak diketahui1
Dewi Aulia AfifahAfiliasi tidak diketahui1
Tri Sri Noor AsihAfiliasi tidak diketahui1
Mustiko Rizki RamadhanAfiliasi tidak diketahui1
Ahmad Julul ZamzamiAfiliasi tidak diketahui1
Teta Resti AnggraeniAfiliasi tidak diketahui1
Arief AgoestantoAfiliasi tidak diketahui1
Masrukan MasrukanState University of Semarang1
N. S. IntaniAfiliasi tidak diketahui1
Rizki Nur AmaliaAfiliasi tidak diketahui1
Mashuri MashuriState University of Semarang1

Afiliasi berasal dari OpenAlex; metadata OAI-PMH jurnal tidak memuatnya. Penulis tanpa ID OpenAlex dicocokkan berdasarkan nama, sehingga dua orang bisa tergabung atau satu orang bisa terpisah.

Sumber metadata: OAI-PMH (metadata jurnal) https://journal.unnes.ac.id/sju/index.php/ujm/oai, pertama di-harvest 6 Nov 2026, terakhir terlihat 6 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">PEMODELAN MATEMATIKA EPIDEMI INFLUENZA DENGAN MEMPERHATIKAN PELUANG KEBERHASILAN VAKSINASI DAN KEKEBALAN TETAP</dc:title>
	<dc:creator>Aulia, Nisa</dc:creator>
	<dc:creator>Kharis, Muhammad</dc:creator>
	<dc:creator>Supriyono, Supriyono</dc:creator>
	<dc:description xml:lang="en-US">This study reviews about a mathematical model for influenza epidemic. The mathematical model used is in the form of SIR epidemic models.This model considerates the factors of vaccination as a prevention of influenza diseases spread and immunity remains of each person who has recovered from the disease. In this research, it is conducted the study concerning the mathematical model of influenza epidemics by considering the chances of vaccination success and immunity remains, analysis of equilibrium and stability of the model, as well as model simulation and interpretation of model behavior. The method used is literature review, laboratory studies and analysis. The first step in this research is to determine the problem, formulate the problem, literature review, analysis and problem solving as well as the conclusion. As the results, it is obtained a model with four variable and nine parameters. From the model obtained an equilibrium point that is disease free equilibrium point which is stable asymptotically on R0 &amp;lt; 1 and unstable on R0 &amp;gt; 1. Furthermore, It is concluded that there is no possibility of widespreadoutbreaks and a geometric overview is given in the form of simulation with Maple 12 program.</dc:description>
	<dc:publisher xml:lang="en-US">Universitas Negeri Semarang</dc:publisher>
	<dc:date>2017-02-27</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en-US">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unnes.ac.id/sju/ujm/article/view/13132</dc:identifier>
	<dc:identifier>10.15294/ujm.v5i2.13132</dc:identifier>
	<dc:source xml:lang="en-US">Unnes Journal of Mathematics; Vol 5 No 2 (2016); 190-200</dc:source>
	<dc:source>2460-5859</dc:source>
	<dc:source>2252-6943</dc:source>
	<dc:source>10.15294/ujm.v5i2</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.unnes.ac.id/sju/ujm/article/view/13132/7209</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2017 Unnes Journal of Mathematics</dc:rights>
</oai_dc:dc>