Epsilon: Jurnal Matematika Murni dan Terapan
Vol 19, No 2 (2025)

PEMODELAN MATEMATIKA PENYEBARAN PENYAKIT DEMAM BERDARAH DENGUE DENGAN LARVASIDA SEBAGAI PARAMETER INTERVENSI

Ekaristi, Mita (Unknown)
Prihandono, Bayu (Unknown)
Noviani, Evi (Unknown)



Article Info

Publish Date
09 Nov 2025

Abstract

Dengue Hemorrhagic Fever (DHF) remains a public health threat in Indonesia. This study aims to analyze the effectiveness of larvicides in controlling DHF through a mathematical modeling approach. This study developed an SIR-ASI model that considers the aquatic phase of mosquitoes. The model was formulated as a system of nonlinear differential equations by integrating the parameter of larval mortality due to larvicides . The basic reproduction number  is derived using the Next Generation Matrix method. The stability of the system around the equilibrium point is analyzed using the Routh-Hurwitz criterion, which proves that the disease-free equilibrium point is locally asymptotically stable when . Numerical simulations indicate that increasing larvicide intensity  significantly reduces  from 3.19051 (without intervention) to 0.68281 (with intervention), equivalent to a 78.60% reduction. Sensitivity analysis identified u as one of the key parameters controlling  along with mosquito bite frequency  and mosquito mortality . The results of this study prove that larvicide intervention is effective in breaking the DHF transmission cycle by suppressing the vector population, thus making it a consideration in vector control strategies

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Journal Info

Abbrev

epsilon

Publisher

Subject

Decision Sciences, Operations Research & Management Transportation

Description

Jurnal Matematika Murni dan Terapan Epsilon is a mathematics journal which is devoted to research articles from all fields of pure and applied mathematics including 1. Mathematical Analysis 2. Applied Mathematics 3. Algebra 4. Statistics 5. Computational ...