Article Per Year (5 Year)
p-Index From 2021 - 2026
0.23
P-Index
This Author published in this journals
All Journal Epsilon: Jurnal Matematika Murni dan Terapan
Ekaristi, Mita
Unknown Affiliation
Decision Sciences, Operations Research & Management Transportation

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

 1 
PEMODELAN MATEMATIKA PENYEBARAN PENYAKIT DEMAM BERDARAH DENGUE DENGAN LARVASIDA SEBAGAI PARAMETER INTERVENSI Ekaristi, Mita; Prihandono, Bayu; Noviani, Evi
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 2 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i2.16718

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
Co-Authors Bayu Prihandono Evi Noviani