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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Jurnal Pengukuran Psikologi dan Pendidikan Indonesia (JP3I) Desimal: Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Jurnal Absis : Jurnal Pendidikan Matematika dan Matematika InPrime: Indonesian Journal Of Pure And Applied Mathematics Majalah Ilmiah Matematika dan Statistika (MIMS) Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Jambura Journal of Biomathematics (JJBM) PROSISKO : Jurnal Pengembangan Riset dan observasi Rekayasa Sistem Komputer PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DATA SCIENCE AND OFFICIAL STATISTICS The Indonesian Journal of Computer Science Kesmas: Jurnal Kesehatan Masyarakat Nasional (National Public Health Journal)
Wijaya, Madona Yunita
Department Of Mathematics, Faculty Of Science And Technology, Universitas Islam Negeri Syarif Hidayatullah Jakarta, South Tangerang, Indonesia
Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Health Professions Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation

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Journal : Jambura Journal of Biomathematics (JJBM)

 1 
The Analysis of Epidemic Dynamical Models for Dengue Transmission Considering the Mosquito Aquatic Phase Inayah, Nur; Manaqib, Muhammad; Fitriyati, Nina; Wijaya, Madona Yunita; Fiade, Andrew; Sari, Flori Ratna
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 3: September 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i3.29332

Abstract

This  study  generalizes the dengue  transmission model  by  considering the dynamics of the human population and  the Aedes  aegypti mosquito  population.  The  mosquito  population is  devided into  two  phases,  i.e.,  the aquatic  phase and the adult  phase.  From  the model,  we seek the disease-free  equilibrium, endemic  equilibrium, and  basic  reproduction number   (R0) points.    The  model  yields a  single   basic  reproduction number   which determines the system’s  behavior.   If  R0    1,  the disease-free  equilibrium is  locally  asymptotically stable, indicating that the disease  will die out.  Conversely, if R0    1, an endemic  equilibrium exists,  and  the disease may  persist  in the  population.    Next,   a  numerical simulation  is  performed  to  geometrically  visualize   the resulting analysis  and  also  to  simulate the  dengue   transmission in  DKI Jakarta   Province,  Indonesia.   The resulting  numerical simulation  supports our  analysis.   Meanwhile, the  simulation in  DKI Jakarta  Province suggests that  the dengue  fever  disappears after  60 days  from  the first  case appearance  after  controlling  the mosquito  population through fogging and the use of mosquito  larvae  repellent.  Lastly, the sensitivity analysis of R0   indicates  that  parameters   related  to  the  mosquito’s  aquatic   phase  have  a  strong   influence   on  dengue transmission, meaning that small  changes  in these parameters  can significantly increase or decrease the value  of R0  and thus the potential  for an outbreak.
Co-Authors Achmad Reza Fahcruroji Aisyah Muhayani Alamsyah, Mochammad Rafli Alkadrie, Syarifah Syila Andrew Fiade Aprilia, Ananda Bisyri, M. Alvi Devi Ila Octaviyani Hasanah, Sri Indriati Hidayat, Afnenda Rachmalia Inna, Suma Iqbal Rachadi Irene, Yanne Irma Fauziah Jasmin Nur Hanifa Khasanah, Dwi Windari Nur Kurnia, Hafsah Laili Nahlul Farih MAHMUDI Mahmudi Mahmudi Mahmudi Mahmudi Maysun Maysun Maysun, Maysun Mega Maulina Muhammad Manaqib, Muhammad Nina Fitriyati Nina Fitriyati Nina Fitriyati Nur Inayah NURLIANA NURLIANA Ramadita, Mutiara Rizky Azriel Fahrezi Sari, Flori Ratna Suma’inna Suma’inna Yahya, Amelia Nur Yanne Irene Yanne Irene, Yanne Zulkifli, Dhea Urfina