JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Vol. 22 No. 3 (2026): May 2026

Unveiling Eco-Epidemiological Risk Assessment through Bayesian Spatio-Temporal SPDE-INLA Approach

Mukhsar Mukhsar (Statistics Department, Faculty of Mathematics and Natural Sciences Halu Oleo University)
Ida Usman (Department of Physics Faculty of Mathematics and Natural Sciences Halu Oleo University, Kendari-Indonesia)
Asrul Sani (Unknown)
La Gubu (Department of Mathematics Faculty of Mathematics and Natural Sciences Halu Oleo University, Kendari-Indonesia)
Muzuni Muzuni (Department of Biology Faculty of Mathematics and Natural Sciences Halu Oleo University, Kendari-Indonesia)
Ruslan Majid (Public Health Department Faculty of Public health Halu Oleo University, Kendari-Indonesia)
I Putu Sudayasa (Unknown)
Fahmiati Fahmiati (Department of Chemistry Faculty of Mathematics and Natural Sciences Halu Oleo University, Kendari-Indonesia)



Article Info

Publish Date
14 May 2026

Abstract

Dengue hemorrhagic fever (DHF) remains a major public health burden in tropical areas. The DHF driven by nonlinear interactions, vector dynamics, and population density. Characterizing spatio-temporal risk heterogeneity is critical to targeted intervention. We analyzed dengue risk in Kendari using a Bayesian Stochastic Partial Differential Equation (SPDE) via Integrated Nested Laplace Approximation (INLA). DHF monthly data from 2022–2024 were integrated with geospatial information to estimate relative risk and spatial risk contours. Model performance was compared with Generalized Linear Models (GLM), Intrinsic Conditional Autoregressive (ICAR), and second order Random Walk (RW2). Kendari Barat and Kendari districts emerged as primary hotspots, while Kadia, Mandonga, Baruga, Kambu, and Wua-Wua were high-risk districts. Abeli, Poasia, and Puuwatu districts exhibited moderate risk. Lalodati, Soropia, and Sampara districts showed lower risk. Risk contours revealed clusters concentrated in the urban core and along major corridors, highlighting the influence of settlement density and spatial connectivity. The SPDE–INLA model outperformed GLM, ICAR, and RW2 in capturing spatial structure and improving predictive accuracy. High resolution risk estimates supported specific district including intensified source reduction before and during peak rainfall, selective fogging, larval control, community education, microclimate monitoring, and early case screening in high-risk areas.

Copyrights © 2026






Journal Info

Abbrev

jmsk

Publisher

Subject

Mathematics

Description

Jurnal ini mempublikasikan paper-paper original hasil-hasil penelitian dibidang Matematika, Statistika dan Komputasi ...