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Analisis dinamik model SVEIR pada penyebaran penyakit campak

Jambura Journal of Biomathematics (JJBM) · Vol. ume (2020) · hlm. 57–64

DOI
10.34312/jjbm.v1i2.8482
ISSN
2723-0317
Terbit
2020-12-25
Penerbit
Department of Mathematics, Universitas Negeri Gorontalo
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-nc/4.0

Abstrak

In this article, we analyze the dynamics of measles transmission model with vaccination via an SVEIR epidemic model. The total population is divided into five compartments, namely the Susceptible, Vaccinated, Exposed, Infected, and Recovered populations. Firstly, we determine the equilibrium points and their local asymptotically stability properties presented by the basic reproduction number R0. It is found that the disease free equilibrium point is locally asymptotically stable if satisfies R01 and the endemic equilibrium point is locally asymptotically stable when R01. We also show the existence of forward bifurcation driven by some parameters that influence the basic reproduction number R0 i.e., the infection rate α or proportion of vaccinated individuals θ. Lastly, some numerical simulations are performed to support our analytical results.

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  • State University of Gorontalo
  • Universitas Sulawesi Tenggara
  • Universitas Halu Oleo
  • Universitas Pattimura
  • Universitas Negeri Surabaya
  • Afiliasi tidak diketahui
  • Organisasi berbeda
  • Organisasi sama
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Tampilkan sebagai tabel
Rekan penulisOrganisasiArtikel bersama
Resmawan ResmawanState University of Gorontalo5
Muhammad Rezky Friesta PayuState University of Gorontalo4
Hasan S. PanigoroState University of Gorontalo4
Djihad WungguliState University of Gorontalo2
Salmun K. NasibState University of Gorontalo2
Mohamad Diva Mulya IshakState University of Gorontalo1
Taulia DamayantiState University of Gorontalo1
Arsalim ArsalimUniversitas Sulawesi Tenggara1
Humairah MuljabarUniversitas Sulawesi Tenggara1
Erfain ErfainAfiliasi tidak diketahui1
Imran ImranAfiliasi tidak diketahui1
Monalisa Herawati RumayarAfiliasi tidak diketahui1
Muh. Ridawan AdnanAfiliasi tidak diketahui1
Fauzan FauzanAfiliasi tidak diketahui1
La BatiaUniversitas Halu Oleo1
Ali HadaraUniversitas Halu Oleo1
Dewi Rahmawaty IsaAfiliasi tidak diketahui1
Rosna Ningsih BilondatuAfiliasi tidak diketahui1
Moh Rizal HusainState University of Gorontalo1
Rahmayunda UsaliState University of Gorontalo1
Franky Alfrits OrohState University of Gorontalo1
Nisky Imansyah YahyaState University of Gorontalo1
Ainun FatmawatiState University of Gorontalo1
Jefri N. IsaState University of Gorontalo1
Stella JunusState University of Gorontalo1
Nurhalis HasanState University of Gorontalo1
Nisky Imansyah YahyaAfiliasi tidak diketahui1
Salmun K. NasibAfiliasi tidak diketahui1
Dennynatalis TahaAfiliasi tidak diketahui1
Lazarus Kalvein BeayUniversitas Pattimura1
Dian SavitriUniversitas Negeri Surabaya1
Amelia Tri Rahma SidikState University of Gorontalo1
Lailany YahyaState University of Gorontalo1
Rusdianto IbrahimState University of Gorontalo1
Siti MaisarohState University of Gorontalo1
Novianita AchmadState University of Gorontalo1
Anisa Fitra Dila HubuState University of Gorontalo1

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Sumber metadata: OAI-PMH (metadata jurnal) http://ejurnal.ung.ac.id/index.php/JJBM/oai, pertama di-harvest 9 Nov 2026, terakhir terlihat 9 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">Analisis dinamik model SVEIR pada penyebaran penyakit campak</dc:title>
	<dc:creator>Ahaya, Sitty Oriza Sativa Putri</dc:creator>
	<dc:creator>Rahmi, Emli</dc:creator>
	<dc:creator>Nurwan, Nurwan</dc:creator>
	<dc:subject xml:lang="en-US">Mathematical Modeling; Measles; Equilibrium Point; Local Stability; Vaccination</dc:subject>
	<dc:description xml:lang="en-US">In this article, we analyze the dynamics of measles transmission model with vaccination via an SVEIR epidemic model. The total population is divided into five compartments, namely the Susceptible, Vaccinated, Exposed, Infected, and Recovered populations. Firstly, we determine the equilibrium points and their local asymptotically stability properties presented by the basic reproduction number R0. It is found that the disease free equilibrium point is locally asymptotically stable if satisfies R01 and the endemic equilibrium point is locally asymptotically stable when R01. We also show the existence of forward bifurcation driven by some parameters that influence the basic reproduction number R0 i.e., the infection rate Î± or proportion of vaccinated individuals θ. Lastly, some numerical simulations are performed to support our analytical results.</dc:description>
	<dc:publisher xml:lang="en-US">Department of Mathematics, Universitas Negeri Gorontalo</dc:publisher>
	<dc:contributor xml:lang="en-US"></dc:contributor>
	<dc:date>2020-12-25</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://ejurnal.ung.ac.id/index.php/JJBM/article/view/8482</dc:identifier>
	<dc:identifier>10.34312/jjbm.v1i2.8482</dc:identifier>
	<dc:source xml:lang="en-US">Jambura Journal of Biomathematics (JJBM); Volume 1, Issue 2: December 2020; 57-64</dc:source>
	<dc:source>2723-0317</dc:source>
	<dc:source>10.34312/jjbm.v1i2</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ejurnal.ung.ac.id/index.php/JJBM/article/view/8482/2495</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2020 Sitty Oriza Sativa Putri Ahaya, Emli Rahmi, Nurwan Nurwan</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-nc/4.0</dc:rights>
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