SEIR-SEI DENGUE TRANSMISSION DYNAMICS IN KUPANG CITY: STABILITY AND SENSITIVITY ANALYSIS
DOI:
https://doi.org/10.20956/zfgvta89Keywords:
SEIR-SEI model, dengue transmission, basic reproduction number, sensitivity analysis, Kupang CityAbstract
Dengue fever continues to pose a persistent public health challenge in Kupang City, as case counts have shown inconsistent trends from year to year. An SEIR-SEI mathematical modeling framework is applied in this study to examine the dynamics of dengue spread and to determine intervention strategies that may effectively reduce transmission. The objectives are to determine equilibrium points and the basic reproduction number (R0 ), analyze the local stability of the disease-free equilibrium, and evaluate parameter sensitivity. The value of R0 was estimated using monthly dengue case data in Kupang City from 2020 to 2024 under assumption of exponential growth in the infected population. The analysis produced an estimated value of R0 = 1,64 > 1, indicating the potential persistence and spread of dengue transmission within the population. Stability analysis shows that the disease-free equilibrium is locally unstable when R0 > 1. Sensitivity analysis reveals that natural mosquito mortality (μv) is the most influential parameter affecting R0 . These findings indicate that vector population control through insecticides, larvicides, mosquito breeding-site elimination represents the most effective strategy for reducing dengue transmission in Kupang City.
References
[1] Aguiar, M., Anam, V., Blyuss, K.B., Estadilla, C.D.S., & Guerrero, B.V., 2020. Mathematical Models for Dengue Fever Epidemiology: A 10-year Systematic Review. Psychiatry Research, Vol. 14(4), 293.
[2] Bhuju, G., Phaijoo, G. R., & Gurung, D. B., 2022. Sensitivity and Bifurcation Analysis of Fuzzy SEIR-SEI Dengue Disease Model. Journal of Mathematics, Vol. 2022. https://doi.org/10.1155/2022/1927434
[3] BPS, 2025. Statistik Daerah Kota Kupang 2025 - Badan Pusat Statistik Kota Kupang.
[4] Chan, M., & Johansson, M. A., 2012. The Incubation Periods of Dengue Viruses. PLoS ONE, Vol. 7, No. 11, 1–7. https://doi.org/10.1371/journal.pone.0050972
[5] Diekmann, O., Heesterbeek, J. A. P., & Roberts, M. G., 2010. The construction of next-generation matrices for compartmental epidemic models. Journal of the Royal Society Interface, Vol 7, No. 47, 873–885. https://doi.org/10.1098/rsif.2009.0386
[6] Harianto, J., Angelika, V., & Seru, F., 2023. Kestabilan Lokal Titik Ekuilibrium Model. Jurnal Matematika UNAND, Vol. 12, No. 2, 153-167.
[7] Hasan, M. R., Hobiny, A., & Alshehri, A., 2022. Analysis of Vector-host SEIR-SEI Dengue Epidemiological Model. International Journal of Analysis and Applications, Vol. 20, 1–19. https://doi.org/10.28924/2291-8639-20-2022-57
[8] Kementerian Kesehatan Republik Indonesia., 2023. Deteksi Dini Demam Berdarah Dengue (DBD) dan Pengendaliannya di Indonesia Tahun 2023.
[9] Ndii, M. Z., 2020a. Pemodelan Matematika Dinamika Populasi dan Penyebaran Penyakit: Teori, Aplikasi, dan Numerik.
[10] Ndii, M. Z., 2020b. Modelling the use of vaccine and Wolbachia on dengue transmission dynamics. Tropical Medicine and Infectious Disease, Vol. 5, No. 2.
https://doi.org/10.3390/tropicalmed5020078
[11] Ndii, M. Z., Mage, A. R., Messakh, J. J., & Djahi, B. S., 2020c. Optimal vaccination strategy for dengue transmission in Kupang city, Indonesia. Heliyon, Vol. 6, No. 11.
https://doi.org/10.1016/j.heliyon.2020.e05345
[12] Phaijoo, G. R., & Gurung, D. B., 2018. Sensitivity Analysis of SEIR-SEI Model of Dengue Disease. Journal of Gwalior Academy of Mathematical Sciences, Vol. 6(a).
[13] Purnamasari, S., Istichomah, B. A. Y., & Hamida, M., 2025. Faktor yang Mempengaruhi Pemberantasan Sarang Nyamuk (PSN) Melalui 3M Plus dalam Upaya Pencegahan Demam Berdarah Dengue (DBD). Jurnal Ilmu Kesehatan, Vol. 14, No. 01, 93–112.
https://journal.umg.ac.id/index.php/manajerial/article/view/10630
[14] Putra, R. T., Sukatik, & Nita, S., 2016. Kestabilan Model Epidemi SEIR dengan Matriks Hurwitz. Jurnal Ilmiah Poli Rekayasa, Vol. 11, No. 2, 74. https://doi.org/10.30630/jipr.11.2.76
[15] Rahman, M. M., Hye, M. A., Miah, M. S., Islam, R., & Hossain, M. S., 2026. Insights and implications of a dynamical systems approach to dengue transmission and epidemic behaviour. Scientific Reports, Vol.16, No. 1. https://doi.org/10.1038/s41598-026-38445-3
[16] World Health Organization., 2025. Dengue.
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