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Biological and Mechanical Transmission Models of Dengue Fever

Communication in Biomathematical Sciences · Vol. 2 No. 1 (2019) · hlm. 12–22

DOI
10.5614/cbms.2019.2.1.2
ISSN
2549-2896
Terbit
2019-05-17
Penerbit
The Indonesian Bio-Mathematical Society
Bahasa
eng

Abstrak

Dengue fever disease is caused by the dengue virus and transmitted primarily by the Aedes aegypti mosquitoes. There is no vaccine available to prevent transmission of the disease until recently which makes 30% of the worlds population is at risk of the disease. The Aedes aegypti mosquitoes are known as multiplebiters during their blood meal periods. There are two possible transmissions of the dengue virus from the mosquitoes to humans. First, infectious mosquitoes may transmit the virus through the bite to a susceptible human after the virus experiencing the extrinsic incubation period (EIP) in the body of the mosquitoes. Second, the transmission happens directly through the transfer of virus carried in the saliva of a mosquito to a susceptible human at the second bite without waiting for the EIP. The later is known as a mechanical transmission, which occurs when a susceptible mosquito bites an infectious human and almost at the same time it transmits the virus to a healthy human. Only a few literature consider this kind of dengue transmission. In this paper, we develop a mathematical model for dengue transmission by modifying the standard dengue transmission model with the presence of mechanical transmission. We show that the spreading behavior of the disease can be described by the basic reproduction number (BRN), R0. The disease will die out if R0 1. The analysis shows that the ratio of the BRN in the presence and absence of the mechanical transmission increases as the mechanical transmission rate increases. There is also a significant change in the outbreak intensity especially when the mechanical transmission rate is greater than the biological transmission rate.

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31 penulis · 63 tautan kepenulisan bersama · 24 lintas organisasi

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  • Padjadjaran University
  • Sunan Gunung Djati State Islamic University Bandung
  • Khulna University
  • Bandung Institute of Technology
  • University of Nusa Cendana
  • Institut Teknologi Statistika dan Bisnis Muhammadiyah Semarang
  • Sumatera Institute of Technology
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Rekan penulisOrganisasiArtikel bersama
Meksianis Zadrak NdiiUniversity of Nusa Cendana3
Ema CarniaPadjadjaran University2
Edy SoewonoBandung Institute of Technology2
Sanubari Tansah TresnaPadjadjaran University2
Ati MaryatiPadjadjaran University1
Ananda Ayu PermatasariPadjadjaran University1
Fadilah IlahiSunan Gunung Djati State Islamic University Bandung1
Della Isna AmatillahSunan Gunung Djati State Islamic University Bandung1
Diny ZulkarnaenSunan Gunung Djati State Islamic University Bandung1
Ichwal Afrizan ShiddiqieSunan Gunung Djati State Islamic University Bandung1
Arista Fitri DianaInstitut Teknologi Statistika dan Bisnis Muhammadiyah Semarang1
Asep Solih AwalluddinSunan Gunung Djati State Islamic University Bandung1
Hathifah Fidya AmaliaSunan Gunung Djati State Islamic University Bandung1
Inge WahyuniAfiliasi tidak diketahui1
Nuning NurainiBandung Institute of Technology1
Panji Fortuna HadisoemartoPadjadjaran University1
Dwi AgustianPadjadjaran University1
Md. Haider Ali BiswasKhulna University1
Sk. Abdus SamadKhulna University1
Tahera ParvinKhulna University1
Md. Tusberul IslamKhulna University1
Anita TriskaPadjadjaran University1
Muhammad Haekal DzulfikarPadjadjaran University1
Nela RizkaSumatera Institute of Technology1
Elvi Syukrina EriantoSunan Gunung Djati State Islamic University Bandung1
Najmudin NuwariSunan Gunung Djati State Islamic University Bandung1
H. ServianaUniversitas Islam Makassar1

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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">Biological and Mechanical Transmission Models of Dengue Fever</dc:title>
	<dc:creator>Laura, Laura</dc:creator>
	<dc:creator>Supriatna, Asep K.</dc:creator>
	<dc:creator>Khumaeroh, Mia Siti</dc:creator>
	<dc:creator>Anggriani, Nursanti</dc:creator>
	<dc:subject xml:lang="en-US">Mechanical transmission</dc:subject>
	<dc:subject xml:lang="en-US">biological transmission</dc:subject>
	<dc:subject xml:lang="en-US">basic reproduction number</dc:subject>
	<dc:subject xml:lang="en-US">SIR-SI model. 2010 MSC</dc:subject>
	<dc:subject xml:lang="en-US">92D30</dc:subject>
	<dc:subject xml:lang="en-US">93A30</dc:subject>
	<dc:subject xml:lang="en-US">37N25</dc:subject>
	<dc:description xml:lang="en-US">Dengue fever disease is caused by the dengue virus and transmitted primarily by the Aedes aegypti mosquitoes. There is no vaccine available to prevent transmission of the disease until recently which makes 30% of the worlds population is at risk of the disease. The Aedes aegypti mosquitoes are known as multiplebiters during their blood meal periods. There are two possible transmissions of the dengue virus from the mosquitoes to humans. First, infectious mosquitoes may transmit the virus through the bite to a susceptible human after the virus experiencing the extrinsic incubation period (EIP) in the body of the mosquitoes. Second, the transmission happens directly through the transfer of virus carried in the saliva of a mosquito to a susceptible human at the second bite without waiting for the EIP. The later is known as a mechanical transmission, which occurs when a susceptible mosquito bites an infectious human and almost at the same time it transmits the virus to a healthy human. Only a few literature consider this kind of dengue transmission. In this paper, we develop a mathematical model for dengue transmission by modifying the standard dengue transmission model with the presence of mechanical transmission. We show that the spreading behavior of the disease can be described by the basic reproduction number (BRN), R0. The disease will die out if R0 &amp;lt; 1, and it remains endemic if R0 &amp;gt; 1. The analysis shows that the ratio of the BRN in the presence and absence of the mechanical transmission increases as the mechanical transmission rate increases. There is also a significant change in the outbreak intensity especially when the mechanical transmission rate is greater than the biological transmission rate.</dc:description>
	<dc:publisher xml:lang="en-US">The Indonesian Bio-Mathematical Society</dc:publisher>
	<dc:date>2019-05-17</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/9654</dc:identifier>
	<dc:identifier>10.5614/cbms.2019.2.1.2</dc:identifier>
	<dc:source xml:lang="en-US">Communication in Biomathematical Sciences; Vol. 2 No. 1 (2019); 12-22</dc:source>
	<dc:source>2549-2896</dc:source>
	<dc:source>10.5614/cbms.2019.2.1</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journals.itb.ac.id/index.php/cbms/article/view/9654/4165</dc:relation>
</oai_dc:dc>