2021 Analysis and Simulation of SIRS Model for Dengue Fever Transmission in South Sulawesi, Indonesia
Wahidah Sanusi, Nasiah Badwi, Ahmad Zaki, Sahlan Sidjara, Nurwahidah Sari, Muhammad Isbar Pratama, Syafruddin Side
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J. Appl. Math. 2021: 1-8 (2021). DOI: 10.1155/2021/2918080


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 R0. The simulation done for the dengue fever case in South Sulawesi found the basic reproduction number R0=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.


We would like to thank UNM No: 558/UN36.11/HK/2020 for the financial support.


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Wahidah Sanusi. Nasiah Badwi. Ahmad Zaki. Sahlan Sidjara. Nurwahidah Sari. Muhammad Isbar Pratama. Syafruddin Side. "Analysis and Simulation of SIRS Model for Dengue Fever Transmission in South Sulawesi, Indonesia." J. Appl. Math. 2021 1 - 8, 2021. https://doi.org/10.1155/2021/2918080


Received: 1 August 2020; Revised: 11 December 2020; Accepted: 31 December 2020; Published: 2021
First available in Project Euclid: 28 July 2021

Digital Object Identifier: 10.1155/2021/2918080

Rights: Copyright © 2021 Hindawi


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