MATHEMATICAL MODELS OF DENGUE TRANSMISSION DYNAMICS WITH VACCINATION AND WOLBACHIA PARAMETERS AND SEASONAL ASPECTS
The Aedes aegypti mosquito is the main carrier of dengue virus transmission to humans. In this study, a mathematical model for the transmission of the dengue virus is constructed using vaccination and Wolbachia parameters in an attempt to control the virus's spread. Furthermore, the fundamental...
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Universitas Pattimura
2023-12-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/10147 |
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| author | Aminatus Sa'adah Dian Kartika Sari |
| author_facet | Aminatus Sa'adah Dian Kartika Sari |
| author_sort | Aminatus Sa'adah |
| collection | DOAJ |
| description | The Aedes aegypti mosquito is the main carrier of dengue virus transmission to humans. In this study, a mathematical model for the transmission of the dengue virus is constructed using vaccination and Wolbachia parameters in an attempt to control the virus's spread. Furthermore, the fundamental reproduction number is set as a parameter of the infection threshold. Based on the stability of the equilibrium point analysis, it is found that the disease-free equilibrium point is locally asymptotically stable if . Then, a mathematical model of dengue was created by examining the seasonal aspect and adding a periodic term to the mosquito birth rate. Dengue virus transmission in mosquito populations is controlled by air temperature in addition to seasonal variables. In this study, three weather scenarios were simulated: scenario 1 for cold weather (air temperature 14 °C), scenario 2 for hot weather (air temperature 26 °C), and scenario 3 for moderate weather (air temperature between 14 and 26 °C). |
| format | Article |
| id | doaj-art-5f48df3ad6d344a49472f486a6902afc |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-5f48df3ad6d344a49472f486a6902afc2025-08-20T03:35:54ZengUniversitas PattimuraBarekeng1978-72272615-30172023-12-011742305231610.30598/barekengvol17iss4pp2305-231610147MATHEMATICAL MODELS OF DENGUE TRANSMISSION DYNAMICS WITH VACCINATION AND WOLBACHIA PARAMETERS AND SEASONAL ASPECTSAminatus Sa'adah0Dian Kartika Sari1Informatics Engineering Study Program, Faculty of Informatics, Telkom Purwokerto Institute of Technology, IndonesiaInformatics Engineering Study Program, Faculty of Informatics, Telkom Purwokerto Institute of Technology, IndonesiaThe Aedes aegypti mosquito is the main carrier of dengue virus transmission to humans. In this study, a mathematical model for the transmission of the dengue virus is constructed using vaccination and Wolbachia parameters in an attempt to control the virus's spread. Furthermore, the fundamental reproduction number is set as a parameter of the infection threshold. Based on the stability of the equilibrium point analysis, it is found that the disease-free equilibrium point is locally asymptotically stable if . Then, a mathematical model of dengue was created by examining the seasonal aspect and adding a periodic term to the mosquito birth rate. Dengue virus transmission in mosquito populations is controlled by air temperature in addition to seasonal variables. In this study, three weather scenarios were simulated: scenario 1 for cold weather (air temperature 14 °C), scenario 2 for hot weather (air temperature 26 °C), and scenario 3 for moderate weather (air temperature between 14 and 26 °C).https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/10147denguedengue mathematical modelsseasonal effectsvaccinationwolbachia |
| spellingShingle | Aminatus Sa'adah Dian Kartika Sari MATHEMATICAL MODELS OF DENGUE TRANSMISSION DYNAMICS WITH VACCINATION AND WOLBACHIA PARAMETERS AND SEASONAL ASPECTS Barekeng dengue dengue mathematical models seasonal effects vaccination wolbachia |
| title | MATHEMATICAL MODELS OF DENGUE TRANSMISSION DYNAMICS WITH VACCINATION AND WOLBACHIA PARAMETERS AND SEASONAL ASPECTS |
| title_full | MATHEMATICAL MODELS OF DENGUE TRANSMISSION DYNAMICS WITH VACCINATION AND WOLBACHIA PARAMETERS AND SEASONAL ASPECTS |
| title_fullStr | MATHEMATICAL MODELS OF DENGUE TRANSMISSION DYNAMICS WITH VACCINATION AND WOLBACHIA PARAMETERS AND SEASONAL ASPECTS |
| title_full_unstemmed | MATHEMATICAL MODELS OF DENGUE TRANSMISSION DYNAMICS WITH VACCINATION AND WOLBACHIA PARAMETERS AND SEASONAL ASPECTS |
| title_short | MATHEMATICAL MODELS OF DENGUE TRANSMISSION DYNAMICS WITH VACCINATION AND WOLBACHIA PARAMETERS AND SEASONAL ASPECTS |
| title_sort | mathematical models of dengue transmission dynamics with vaccination and wolbachia parameters and seasonal aspects |
| topic | dengue dengue mathematical models seasonal effects vaccination wolbachia |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/10147 |
| work_keys_str_mv | AT aminatussaadah mathematicalmodelsofdenguetransmissiondynamicswithvaccinationandwolbachiaparametersandseasonalaspects AT diankartikasari mathematicalmodelsofdenguetransmissiondynamicswithvaccinationandwolbachiaparametersandseasonalaspects |