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Exploring of Homotopy Perturbation Method (HPM) for Solving Spread of COVID-19

Jambura Journal of Biomathematics (JJBM) · Vol. ume (2023) · hlm. 138–145

DOI
10.37905/jjbm.v4i2.21560
ISSN
2723-0317
Terbit
2023-12-31
Penerbit
Department of Mathematics, Universitas Negeri Gorontalo
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-nc/4.0

Abstrak

This article discusses the solution to the non-linear differential equation system for the spread of COVID19 with SEIR (Susceptible, Exposed, Infected, Recovered) model using the Homotopy Perturbation Method. Specifically, this article examines the impact of moving the recovered subpopulation back to the susceptible subpopulation on the spread of COVID-19 in the city of Medan. The data used is real data for the city of Medan in 2021. The results of constructing a model for the spread of COVID-19 were analyzed to obtain a disease-free critical point. By using the Next Generation Matrix method, the Basic Reproduction number R0 = 4.61 is obtained, this indicates that COVID-19 is still possible to spread in Medan City. Simulations using the Homotopy Perturbation Method numerical approach and the results compared with the Runge Kutte Order 4 method show results that accurately describe the dynamics of the spread of COVID-19 in Medan City. The very small error indicates that the Homotopy Perturbation Method is very suitable for use in solving non-linear differential equation systems, especially in the SEIRS model of the spread of COVID-19. The simulation results show that the impact of the movement of recovered sub-populations to susceptible sub-populations results in accelerated transmission of COVID-19. The greater the number of movements higher the rate of spread of COVID-19.

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  • State University of Semarang
  • State University of Medan
  • State University of Jakarta
  • IPB University
  • Badan Pusat Statistik
  • Bandung Institute of Technology
  • Universitas Bina Sarana Informatika
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Rekan penulisOrganisasiArtikel bersama
Mukh DoyinState University of Semarang2
Arief AgoestantoState University of Semarang2
Muhammad KharisState University of Semarang2
Ary Woro KurniasihState University of Semarang2
Yohanes Leonardus SukestiyarnoState University of Semarang2
Bagus SumargoState University of Jakarta1
Asep Anwar NugrahaIPB University1
Dania SiregarState University of Jakarta1
Felia Aidah NurizaBadan Pusat Statistik1
Irman FirmansyahIPB University1
Maria Cyntia S.State University of Medan1
Mulyono MulyonoState University of Medan1
Faiz AhyaningsihState University of Medan1
Fidelis Nofertinus ZaiBandung Institute of Technology1
Fikri SyahputraState University of Medan1
Dinda KartikaState University of Medan1
Debi Yandra NiskaState University of Medan1
Sisti Nadia AmaliaState University of Medan1
Mohammad FatchurrohmanState University of Semarang1
Isnaini Anniswati RosyidaState University of Semarang1
Miftahul MufidAfiliasi tidak diketahui1
Aprilia SetyariniAfiliasi tidak diketahui1
Sugiono SugionoUniversitas Bina Sarana Informatika1
Dhoni ZustiyantoroState University of Semarang1
Hardyanto HardyantoState University of Semarang1
Tri Duto UtomoState University of Semarang1
Zuliyanti ZuliyantiState University of Semarang1
Suseno SusenoState University of Semarang1
Masrukan MasrukanState University of Semarang1
Mashuri MashuriState University of Semarang1
Zaenuri ZaenuriState University of Semarang1
Dian Teguh FirmansyahState University of Semarang1
Bambang Eko SusiloState University of Semarang1
Yuninan Dyah PitalokaState University of Semarang1
Hery SutartoState University of Semarang1
Zulfa AinurrizqiyahState 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) 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">Exploring of Homotopy Perturbation Method (HPM) for Solving Spread of COVID-19</dc:title>
	<dc:creator>Nasution, Hamidah</dc:creator>
	<dc:creator>Mulyono, Mulyono</dc:creator>
	<dc:creator>Surbakti, Nurul Maulida</dc:creator>
	<dc:creator>BR Sihaholo, Ruth Salisa</dc:creator>
	<dc:subject xml:lang="en-US">COVID-19, Homotopy Perturbation Method, SEIR Model</dc:subject>
	<dc:description xml:lang="en-US">This article discusses the solution to the non-linear differential equation system for the spread of COVID19 with SEIR (Susceptible, Exposed, Infected, Recovered) model using the Homotopy Perturbation Method. Specifically, this article examines the impact of moving the recovered subpopulation back to the susceptible subpopulation on the spread of COVID-19 in the city of Medan. The data used is real data for the city of Medan in 2021. The results of constructing a model for the spread of COVID-19 were analyzed to obtain a disease-free critical point. By using the Next Generation Matrix method, the Basic Reproduction number R0 = 4.61 is obtained, this indicates that COVID-19 is still possible to spread in Medan City. Simulations using the Homotopy Perturbation Method numerical approach and the results compared with the Runge Kutte Order 4 method show results that accurately describe the dynamics of the spread of COVID-19 in Medan City. The very small error indicates that the Homotopy Perturbation Method is very suitable for use in solving non-linear differential equation systems, especially in the SEIRS model of the spread of COVID-19. The simulation results show that the impact of the movement of recovered sub-populations to susceptible sub-populations results in accelerated transmission of COVID-19. The greater the number of movements higher the rate of spread of COVID-19.</dc:description>
	<dc:publisher xml:lang="en-US">Department of Mathematics, Universitas Negeri Gorontalo</dc:publisher>
	<dc:contributor xml:lang="en-US">(Hamidah Nasution, State University of Medan, Department of Mathematics)</dc:contributor>
	<dc:date>2023-12-31</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/21560</dc:identifier>
	<dc:identifier>10.37905/jjbm.v4i2.21560</dc:identifier>
	<dc:source xml:lang="en-US">Jambura Journal of Biomathematics (JJBM); Volume 4, Issue 2: December 2023; 138-145</dc:source>
	<dc:source>2723-0317</dc:source>
	<dc:source>10.37905/jjbm.v4i2</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ejurnal.ung.ac.id/index.php/JJBM/article/view/21560/7893</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Hamidah Nasution, Mulyono Mulyono, Nurul Maulida Surbakti, Ruth Salisa BR Sihaholo</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-nc/4.0</dc:rights>
</oai_dc:dc>