Estimation of Dengue Fever Transmission Model in West Java Using the Ensemble Kalman Filter Method

Authors

  • Addinda Nur Ameliyah Institut Teknologi Sepuluh Nopember
  • Didik Khusnul Arif Institut Teknologi Sepuluh Nopember

DOI:

https://doi.org/10.30736/voj.v8i1.1325

Keywords:

Dengue Fever Transmission, Ensemble Kalman Filter, Unscented Kalman Filter, Nonlinear Dynamics, SEIRSI Model

Abstract

Dengue Fever Transmission is a serious, potentially fatal infectious if unmanaged disease. It caused by the dengue virus, transmitted by Aedes aegypti and Aedes albopictus mosquitoes. In West Java, cases remain high and fluctuate significantly, requiring precise mathematical modeling to describe transmission dynamics. This is the first study applying Ensemble Kalman Filter (EnKF) in West Java to estimate the SEIR-SI model, compared to Unscented Kalman Filter (UKF), using dengue fever transmission case data from 2010–2023. Performance was assessed via Mean Absolute Percentage Error (MAPE) for the infected human population ( ), showing EnKF’s superior accuracy (2.4%) over UKF (7.8%). EnKF effectively estimates hard-to-measure epidemiological variables and this study can support government prediction-based dengue fever transmission control policies.

Downloads

Download data is not yet available.

Author Biography

Didik Khusnul Arif, Institut Teknologi Sepuluh Nopember

Department of Mathematics, Institut Teknologi Sepuluh Nopember, Indonesia.

References

Asmianto, Hafiizh, M., Pusawidjayanti, K., Ilmayasinta, N., & Norasia, Y. (2025, November). Optimal control strategies for tuberculosis management: A mathematical modeling approach. In AIP Conference Proceedings (Vol. 3446, No. 1, p. 020044). AIP Publishing LLC.

Awaludin, Aziz, Harun Joko Prayitno, and Muhammad Izzul Haq. 2023. “Using Digital Media During the COVID-19 Pandemic Era:Good Online Program in Higher Education.” Indonesian Journal on Learning and Advanced Education 5(2020): 1–12.

Bolan, Shiv et al. 2024. “Science of the Total Environment Impacts of Climate Change on the Fate of Contaminants through Extreme Weather Events.” 909(August 2023).

Brajard, Julien, Alberto Carrassi, Marc Bocquet, and Laurent Bertino. 2021. “Combining Data Assimilation and Machine Learning to Infer Unresolved Scale Parametrization Subject Areas :” Philosophical Transactions 10(1098).

Carrassi, Alberto, and Marc Bocquet. 2018. “Data Assimilation in the Geosciences An Overview on Methods , Issues and Perspectives.” Wire climate change 9(5).

Cohnstaedt, L E E W, and Caterina M Scoglio. 2021. “SEIR-SEI-EnKF : A New Model for Estimating and Forecasting Dengue Outbreak Dynamics.” IEEE Access 9: 156758–67.

Hyndman, R. J., and G. Athanasopoulos. 2021. Forecasting: Principles and Practice. 3rd ed. OTexts. https://otexts.com/fpp3/.

Ilmayasinta, N., Nawafilah, N. Q., Masruroh, M., & Putri, V. P. (2022). Modelling of Dengue Virus Transmission with Optimal Control. Proceeding International Conference on Environment Health, Socioeconomic and Technology.

Ilmayasinta, N., Novitasari, N., & Sari, A. F. (2024). The Development of “Batik Sendang” and Integrated Marketing Communication Strategy using a Mathematical Model Approach. EKOMBIS REVIEW: Jurnal Ilmiah Ekonomi Dan Bisnis, 12(1), 1203–1212. https://doi.org/10.37676/ekombis.v12i1.5252

Jiang, Shida, Junzhe Shi, and Scott Moura. 2025. “A New Framework for Nonlinear Kalman Filters.” (November).

Kementerian Kesehatan Republik Indonesia. 2024. “Situasi DBD Indonesia.” (Informasi kasus DBD). https://www.kemkes.go.id/%0A (January 16, 2026).

Kularatne, S A M et al. 2025. “Clinical and Laboratory Predictors of Dengue Hemorrhagic Fever in a Resource-Limited Setting : A Prospective Observational Study From Sri Lanka.” 17(11).

Li, Heng et al. 2025. “Improved Unscented Transformation Method and Its Application in Ship Uncertainty-Based Optimization.” Ocean Engineering 339(P2): 122199. https://doi.org/10.1016/j.oceaneng.2025.122199.

Listosari, L. A. B. 2018. “Estimasi Gerak Proyektil Di Bawah Pengaruh Faktor Lingkungan Tropis Menggunakan Metode Unscented Kalman Filter.” Institut Teknologi Sepuluh Nopember.

Liu, Zhuanzhuan et al. 2023. “The Effect of Temperature on Dengue Virus Transmission by Aedes Mosquitoes.” Frontiers in Cellular and Infection Microbiology 13(September): 1–10.

Messina, Jane P et al. 2020. “The Current and Future Global Distribution and Population at Risk of Dengue.” Nature Microbiology 4(September 2019). http://dx.doi.org/10.1038/s41564-019-0476-8.

Munch, Stephan B, Tanya L Rogers, and George Sugihara. 2022. “Recent Developments in Empirical Dynamic Modelling.” Ecology and Evolution 2022(August): 732–45.

Namirimu, Teddy, and Sunjoo Kim. 2024. “Dengue Fever : Epidemiology , Clinical Manifestations , Diagnosis , and Therapeutic Strategies.” 27(2): 131–41.

Narinder, Singh, Ajeet Pal Ajeet, and Amar Pal Amar Pal. 2022. “Dengue Virus : A Review.” Indian Journal of Pharmacy and Pharmacology 8(4): 243–47.

Nasirian, Hassan. 2024. “The Introduction and Establishment of Dengue Disease in A New Area: A Mini Review.” Caspian Journal of Health Researc 9(1): 51–56.

Papa, Michelle Premazzi et al. 2024. “Dengue NS1 Antibodies Are Associated With Clearance of Viral Nonstructural Protein-1.” The Journal of Infectious Diseases 230(6): 1226–34. https://doi.org/10.1093/infdis/jiae299.

Papageorgiou, Vasileios E, and George Tsaklidis. 2022. “A Hybrid SEIHCRDV-UKF Model for COVID-19 Prediction . Application on Real-Time Data.” Research Square 2.

Roger R, Labbe Jr. 2020. “Kalman and Bayesian Filters in Python.”

Safitria, Rina, Didik Khusnul Arif, and Fatmawati. 2023. “Estimasi Nilai Model Penyebaran Penyakit Malaria Dengan Menggunakan Metode Ensemble Kalman Filter.”

Singh, Himali, Kumar Vijay Mishra, and Arpan Chattopadhyay. 2024. “Inverse Unscented Kalman Filter.” IEEE Transactions on Signal Processing 72: 2692–2709.

Tong, Juxiu, Yang Gu, and Kuan Cheng. 2024. “Using an Ensemble Kalman Filter Method for a Soil Nitrogen Transport Model in the Real Rice Field.” Journal of Hydrology 645(PA): 132224. https://doi.org/10.1016/j.jhydrol.2024.132224.

Villela, Daniel A M. 2020. “Discrete Time Forecasting of Epidemics.” Infectious Disease Modelling 5: 189–96. https://doi.org/10.1016/j.idm.2020.01.002.

Wijayanti, Juni, and Muhammad Fakhruddin. 2023. “Modeling and Descriptive Analysis of Dengue Cases in Palu City , Indonesia.” Physica A 625: 129019. https://doi.org/10.1016/j.physa.2023.129019.

World Health Organization. 2024. “Dengue and Severe Dengue.” https://www.who.int/news-room/fact-sheets/detail/dengue-and-severe-dengue%0A (January 15, 2026).

Zeng, Qinghui et al. 2023. “Dengue Transmission Dynamics Prediction by Combining Metapopulation Networks and Kalman Filter Algorithm.” PLOS Neglected Tropical Diseases 17(6): 1–20. http://dx.doi.org/10.1371/journal.pntd.0011418.

Zhang, Wei-xian et al. 2025. “Assessing the Global Dengue Burden : Incidence , Mortality , and Disability Trends over Three Decades.” : 1–18. https://doi.org/10.1371/journal.pntd.0012932.

Downloads

Published

2026-02-28

How to Cite

Ameliyah, A. N., & Arif, D. K. (2026). Estimation of Dengue Fever Transmission Model in West Java Using the Ensemble Kalman Filter Method. Vygotsky: Jurnal Pendidikan Matematika Dan Matematika, 8(1), 51–64. https://doi.org/10.30736/voj.v8i1.1325

Similar Articles

1 2 > >> 

You may also start an advanced similarity search for this article.