Biological and Mechanical Transmission Models of Dengue Fever
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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Indonesian Bio-Mathematical Society
2019-05-01
|
| Series: | Communication in Biomathematical Sciences |
| Subjects: | |
| Online Access: | http://journals.itb.ac.id/index.php/cbms/article/view/9654 |
| _version_ | 1818312166137135104 |
|---|---|
| author | Laura Laura Asep K. Supriatna Mia Siti Khumaeroh Nursanti Anggriani |
| author_facet | Laura Laura Asep K. Supriatna Mia Siti Khumaeroh Nursanti Anggriani |
| author_sort | Laura Laura |
| collection | DOAJ |
| description | 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, and it remains endemic 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. |
| first_indexed | 2024-12-13T08:13:32Z |
| format | Article |
| id | doaj.art-5153a23ee0fa4eecac4dff9fd82d3c03 |
| institution | Directory Open Access Journal |
| issn | 2549-2896 |
| language | English |
| last_indexed | 2024-12-13T08:13:32Z |
| publishDate | 2019-05-01 |
| publisher | Indonesian Bio-Mathematical Society |
| record_format | Article |
| series | Communication in Biomathematical Sciences |
| spelling | doaj.art-5153a23ee0fa4eecac4dff9fd82d3c032022-12-21T23:54:09ZengIndonesian Bio-Mathematical SocietyCommunication in Biomathematical Sciences2549-28962019-05-0121122210.5614/cbms.2019.2.1.24021Biological and Mechanical Transmission Models of Dengue FeverLaura Laura0Asep K. Supriatna1Mia Siti Khumaeroh2Nursanti Anggriani3Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas PadjadjaranDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas PadjadjaranDepartment of Mathematics, Institut Teknologi BandungDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas PadjadjaranDengue 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, and it remains endemic 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.http://journals.itb.ac.id/index.php/cbms/article/view/9654mechanical transmission, biological transmission, basic reproduction number, sir-si model. 2010 msc: 92d30, 93a30, 37n25 |
| spellingShingle | Laura Laura Asep K. Supriatna Mia Siti Khumaeroh Nursanti Anggriani Biological and Mechanical Transmission Models of Dengue Fever Communication in Biomathematical Sciences mechanical transmission, biological transmission, basic reproduction number, sir-si model. 2010 msc: 92d30, 93a30, 37n25 |
| title | Biological and Mechanical Transmission Models of Dengue Fever |
| title_full | Biological and Mechanical Transmission Models of Dengue Fever |
| title_fullStr | Biological and Mechanical Transmission Models of Dengue Fever |
| title_full_unstemmed | Biological and Mechanical Transmission Models of Dengue Fever |
| title_short | Biological and Mechanical Transmission Models of Dengue Fever |
| title_sort | biological and mechanical transmission models of dengue fever |
| topic | mechanical transmission, biological transmission, basic reproduction number, sir-si model. 2010 msc: 92d30, 93a30, 37n25 |
| url | http://journals.itb.ac.id/index.php/cbms/article/view/9654 |
| work_keys_str_mv | AT lauralaura biologicalandmechanicaltransmissionmodelsofdenguefever AT asepksupriatna biologicalandmechanicaltransmissionmodelsofdenguefever AT miasitikhumaeroh biologicalandmechanicaltransmissionmodelsofdenguefever AT nursantianggriani biologicalandmechanicaltransmissionmodelsofdenguefever |