Analysis and Simulation of SIRS Model for Dengue Fever Transmission in South Sulawesi, Indonesia

Sanusi, Wahidah and Badwi, Nasiah and Zaki, Ahmad and Sidjara, Sahlan and Sari, Nurwahidah and Pratama, Muhammad Isbar and Side, Syafruddin (2021) Analysis and Simulation of SIRS Model for Dengue Fever Transmission in South Sulawesi, Indonesia. Journal of Applied Mathematics, 2021. pp. 1-8. ISSN 1110-757X

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Official URL: https://www.hindawi.com/journals/jam/2021/2918080/

Abstract

This study is aimed at building and analysing a SIRS model and also simulating the model to predict the number of dengue fever cases. Methods applied for this model are building the SIRS model by modifying the SIR model, analysing the SIRS model using the Lyapunov function to prove three theorems (the existence, the free disease, and the endemic status of dengue fever), and simulating the SIRS model using the number of dengue case data in South Sulawesi by Maple. The results obtained are the SIRS model of dengue fever transmission, stability analysis, global stability, and the value of the basic reproduction number R. The simulation done for the dengue fever case in South Sulawesi found the basic reproduction number R=26:47609> 1; it means that South Sulawesi is in the endemic stage of transmission for dengue fever disease. Simulation of the SIRS model for dengue fever can predict the number of dengue cases in South Sulawesi that could be a recommendation for the government in an effort to prevent the number of dengue fever cases.

Item Type: Article
Subjects: KARYA ILMIAH DOSEN
Universitas Negeri Makassar > KARYA ILMIAH DOSEN
Divisions: FAKULTAS MIPA
Depositing User: Zainatun
Date Deposited: 24 Jun 2023 00:06
Last Modified: 24 Jun 2023 00:06
URI: http://eprints.unm.ac.id/id/eprint/31487

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