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Analysis of A Coendemic Model of COVID-19 and Dengue Disease

Communication in Biomathematical Sciences · Vol. 4 No. 2 (2021) · hlm. 138–151

DOI
10.5614/cbms.2021.4.2.5
ISSN
2549-2896
Terbit
2021-12-31
Penerbit
The Indonesian Bio-Mathematical Society
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-nd/4.0

Abstrak

The coronavirus disease 2019 (COVID-19) pandemic continues to spread aggressively worldwide, infecting more than 170 million people with confirmed cases, including more than 3 million deaths. This pandemic is increasingly exacerbating the burden on tropical and subtropical regions of the world due to the pre-existing dengue fever, which has become endemic for a longer period in the same region. Co-circulation dengue and COVID-19 cases have been found and confirmed in several countries. In this paper, a deterministic model for the coendemic of COVID-19 and dengue is proposed. The basic reproduction ratio is obtained, which is related to the four equilibria, disease-free, endemic-COVID-19, endemic-dengue, and coendemic equilibria. Stability analysis is done for the first three equilibria. Furthermore, a condition for coexistence equilibrium is obtained, which gives a condition for bifurcation analysis. Numerical simulations were carried out to obtain a stable limit-cycle resulting from two Hopf bifurcation points with dengue transmission rate and COVID-19 transmission rate as the bifurcation parameter, representing a stable periodic coexistence of dengue and COVID-19 transmission. We identify the period of limit cycle decreases after reaching the maximum value.

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  • Bandung Institute of Technology
  • Universitas Muhammadiyah Kendari
  • Hasanuddin University
  • Tadulako University
  • Universidad de la Costa
  • Universitas Halu Oleo
  • Diponegoro University
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Rekan penulisOrganisasiArtikel bersama
Muhammad FakhruddinBandung Institute of Technology4
Juni Wijayanti PuspitaTadulako University4
Kamal Khairudin SukandarBandung Institute of Technology3
Camilo Andrés Rodríguez-NietoUniversidad de la Costa2
Muhaimin HamzahUniversitas Halu Oleo2
. YusnainiAfiliasi tidak diketahui2
Rudy KusdiantaraBandung Institute of Technology2
Mochamad ApriBandung Institute of Technology2
Hadi SusantoKhalifa University of Science and Technology2
Venansius Ryan TjahjonoInstitut Teknologi Sepuluh Nopember2
Agus HasanNorwegian University of Science and Technology2
Yuki Novia NasutionMulawarman University2
Mona ZevikaBandung Institute of Technology2
Sutimin SutiminDiponegoro University2
Novriana SumartiBandung Institute of Technology2
Ebenezer BonyahUniversity of Skills Training and Entrepreneurial Development1
Vicenç FontUniversitat de Barcelona1
Benilda María Cantillo-RudasUniversidad de Panamá1
María Luisa Pabón-NavarroUniversidad del Atlántico1
Wahyudi UmarUniversitas Muhammadiyah Kendari1
Zurisman ZakariaUniversitas Muhammadiyah Kendari1
SupriadiAfiliasi tidak diketahui1
Muhlis MasinAfiliasi tidak diketahui1
Samsul ArifaiAfiliasi tidak diketahui1
IsmawatiAfiliasi tidak diketahui1
St. Hafsah UmarAfiliasi tidak diketahui1
Effendi AbustamHasanuddin University1
Syahriadi KadirHasanuddin University1
E. AbustamAfiliasi tidak diketahui1
S. KadirAfiliasi tidak diketahui1
Ake Royke Calvin LangingiAfiliasi tidak diketahui1
Grace Irene Viodyta WatungAfiliasi tidak diketahui1
Hutwan SyarifudinAfiliasi tidak diketahui1
AswandiAfiliasi tidak diketahui1

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Sumber metadata: OAI-PMH (metadata jurnal) http://journals.itb.ac.id/index.php/cbms/oai, pertama di-harvest 8 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">Analysis of A Coendemic Model of COVID-19 and Dengue Disease</dc:title>
	<dc:creator>Fahlena, Hilda</dc:creator>
	<dc:creator>Oktaviana, Widya</dc:creator>
	<dc:creator>Farida</dc:creator>
	<dc:creator>Sudirman</dc:creator>
	<dc:creator>Nuraini, Nuning</dc:creator>
	<dc:creator>Soewono, Edy</dc:creator>
	<dc:subject xml:lang="en-US">COVID-19</dc:subject>
	<dc:subject xml:lang="en-US">dengue</dc:subject>
	<dc:subject xml:lang="en-US">SIR model</dc:subject>
	<dc:subject xml:lang="en-US">coendemic</dc:subject>
	<dc:subject xml:lang="en-US">basic reproductive ratio</dc:subject>
	<dc:subject xml:lang="en-US">hopf bifurcation</dc:subject>
	<dc:subject xml:lang="en-US">92D30</dc:subject>
	<dc:subject xml:lang="en-US">34D23</dc:subject>
	<dc:subject xml:lang="en-US">37C75</dc:subject>
	<dc:description xml:lang="en-US">The coronavirus disease 2019 (COVID-19) pandemic continues to spread aggressively worldwide, infecting more than 170 million people with confirmed cases, including more than 3 million deaths. This pandemic is increasingly exacerbating the burden on tropical and subtropical regions of the world due to the pre-existing dengue fever, which has become endemic for a longer period in the same region. Co-circulation dengue and COVID-19 cases have been found and confirmed in several countries. In this paper, a deterministic model for the coendemic of COVID-19 and dengue is proposed. The basic reproduction ratio is obtained, which is related to the four equilibria, disease-free, endemic-COVID-19, endemic-dengue, and coendemic equilibria. Stability analysis is done for the first three equilibria. Furthermore, a condition for coexistence equilibrium is obtained, which gives a condition for bifurcation analysis. Numerical simulations were carried out to obtain a stable limit-cycle resulting from two Hopf bifurcation points with dengue transmission rate and COVID-19 transmission rate as the bifurcation parameter, representing a stable periodic coexistence of dengue and COVID-19 transmission. We identify the period of limit cycle decreases after reaching the maximum value.</dc:description>
	<dc:publisher xml:lang="en-US">The Indonesian Bio-Mathematical Society</dc:publisher>
	<dc:date>2021-12-31</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://journals.itb.ac.id/index.php/cbms/article/view/17429</dc:identifier>
	<dc:identifier>10.5614/cbms.2021.4.2.5</dc:identifier>
	<dc:source xml:lang="en-US">Communication in Biomathematical Sciences; Vol. 4 No. 2 (2021); 138-151</dc:source>
	<dc:source>2549-2896</dc:source>
	<dc:source>10.5614/cbms.2021.4.2</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journals.itb.ac.id/index.php/cbms/article/view/17429/5599</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2022 Communication in Biomathematical Sciences</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-nd/4.0</dc:rights>
</oai_dc:dc>