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All Journal JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA JURNAL SILOGISME : Kajian Ilmu Matematika dan Pembelajarannya Gammath : Jurnal Ilmiah Program Studi Pendidikan Matematika Jurnal Penelitian Pendidikan Matematika Indonesian Journal of Applied Mathematics
Rukmono Budi Utomo, Rukmono Budi
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Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Mathematics Physics

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Journal : Indonesian Journal of Applied Mathematics

 1 
MATHEMATICS MODEL SIRS-SI OF TRANSMISSION DENGUE VIRUS CONSIDERING FUMIGATION, VACCINATION AND TREATMEN IN CASE OF TANGERANG CITY Utomo, Rukmono Budi; Azizah, Azizah
Indonesian Journal of Applied Mathematics Vol. 4 No. 2 (2024): Indonesian Journal of Applied Mathematics Vol. 4 No. 2 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v4i2.1913

Abstract

Abstract: In this paper, we construct a mathematical model SIRS-SI transmission dengue fever considering fumigation, vaccination and treatment in case Tangerang City. Background why this research has to do because in Tangerang City the case of dengue fever is pretty lot. Method in this research is using compartment model and create differential equation system. We also do some analyze the model like determining free disease equilibrium point and endemic equilibrium point. We also determining basic reproduction number and making analyze stability of the model around equilibrium points. We also do simulation of the model and the result; model is local asymptotic stable in area free disease equilibrium point and local asymptotic stable in area endemic equilibrium point. Because R0 <1 for free disease equilibrium point, then there are no endemic disease, but because R0 > 1 for endemic equilibrium point then situation is in endemic dengue fever. Keywords: SIRS, Fumigation, Vaccination, Treatment, Dengue
Co-Authors Azizah Azizah Dian Wahyuningsih Warsito Warsito