HEALTH PROMOTION ANALYSIS AND SIMULATION ON INCREASING VACCINATION WITH USING THE SRV MODEL IN PINRANG DISTRICT

  • Syafruddin Side Department of Mathematics, State University of Makassar, Indonesia
  • Wahidah Sanusi Department of Mathematics, State University of Makassar, Indonesia https://orcid.org/0000-0002-1530-7553
  • Andi Muhammad Ridho Yusuf Sainon Andi Padjalangi Department of Mathematics, State University of Makassar, Indonesia
  • Muhammad Isbar Pratama Department of Mathematics, State University of Makassar, Indonesia https://orcid.org/0000-0002-3176-1481
Keywords: Basic Reproduction Number, Refuse Vaccination, SRV Model

Abstract

This study discusses the SRV mathematical model of the rate of people refusing vaccination. The data used is primary data in the form of questionnaire data taken directly from the community in Pinrang district related to the rate of people who refuse vaccination. This research starts from building an SRV model to then perform an analysis and simulation of increased vaccination as a result of the role of the Health Promotion section, determining the balance point, analyzing the stability of the model, determining the value of the basic reproductive number (R0), conducting model simulations using Maple21 software, and interpreting the simulation results. . In this article, a mathematical model of SRV is obtained from the analysis and simulation of increased vaccination as the role of the Health Promotion section; two balance points, namely the free balance point to refuse vaccination and the balance point to refuse vaccination; and the basic reproduction rate R0=0.44721 indicates that the population refuses vaccination is decreasing.

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References

M. Abdy, S. Side, S. Annas, W. Nur, and W. Sanusi, “An SIR epidemic model for COVID-19 spread with fuzzy parameter: the case of Indonesia,” Adv. Differ. Equ., vol. 2021, no. 1, p. 105, Feb. 2021, doi: 10.1186/s13662-021-03263-6.

“COVID Live - Coronavirus Statistics - Worldometer.” https://www.worldometers.info/coronavirus/ (accessed Dec. 16, 2022).

O. Torrealba-Rodriguez, R. A. Conde-Gutiérrez, and A. L. Hernández-Javier, “Modeling and prediction of COVID-19 in Mexico applying mathematical and computational models,” Chaos Solitons Fractals, vol. 138, p. 109946, Sep. 2020, doi: 10.1016/j.chaos.2020.109946.

S. Annas, Muh. Isbar Pratama, Muh. Rifandi, W. Sanusi, and S. Side, “Stability analysis and numerical simulation of SEIR model for pandemic COVID-19 spread in Indonesia,” Chaos Solitons Fractals, vol. 139, p. 110072, Oct. 2020, doi: 10.1016/j.chaos.2020.110072.

“COVID-19 infection: Origin, transmission, and characteristics of human coronaviruses | Elsevier Enhanced Reader.” https://reader.elsevier.com/reader/sd/pii/S2090123220300540?token=2BE53B78D0D5CA6241A59A9D2CA26E57437F840A239C6EC31CA73C2805922B8A2806BE0CEF5526407E90DDBF383002EB&originRegion=eu-west-1&originCreation=20221216094200 (accessed Dec. 16, 2022).

Y. Yulida and M. A. Karim, “PEMODELAN MATEMATIKA PENYEBARAN COVID-19 DI PROVINSI KALIMANTAN SELATAN,” MEDIA BINA Ilm., vol. 14, no. 10, Art. no. 10, May 2020, doi: 10.33758/mbi.v14i10.572.

I. CNN, “WHO Umumkan Virus Corona Sebagai Pandemi.” https://www.cnnindonesia.com/internasional/20200312000124-134-482676/who-umumkan-virus-corona-sebagai-pandemi (accessed Oct. 30, 2022).

Dinas Kesehatan Provinsi Kabupaten Pinrang, “Sulsel Tanggap COVID-19,” 2021. https://covid19.sulselprov.go.id/Data (accessed Dec. 16, 2022).

S. Side, W. Sanusi, M. K. Aidid, and S. Sidjara, “Global Stability of SIR and SEIR Model for Tuberculosis Disease Transmission with Lyapunov Function Method,” Asian J. Appl. Sci., vol. 9, no. 3, pp. 87–96, Jun. 2016, doi: 10.3923/ajaps.2016.87.96.

H. Maryam, M. Abdy, Alimuddin, and S. Side, “SEIAS-SEI model on asymptomatic and super infection malaria with imperfect vaccination,” J. Phys. Conf. Ser., vol. 1918, no. 4, p. 042028, Jun. 2021, doi: 10.1088/1742-6596/1918/4/042028.

A. Anwar, R. Syam, M. I. Pratama, and S. Side, “SEIRS model analysis for online game addiction problem of mathematics students,” J. Phys. Conf. Ser., vol. 1918, no. 4, p. 042024, Jun. 2021, doi: 10.1088/1742-6596/1918/4/042024.

M. Asri, S. Sidjara, W. Sanusi, S. Side, and M. I. Pratama, “Analysis and Solution of The SEIRS Model for The Rubella Transmission with Vaccination Effect using Runge-Kutta Method,” J. Phys. Conf. Ser., vol. 1899, no. 1, p. 012090, May 2021, doi: 10.1088/1742-6596/1899/1/012090.

S. Side, M. Abdy, F. Arwadi, and W. Sanusi, “SEIRI Model analysis using the mathematical graph as a solution for Hepatitis B disease in Makassar,” J. Phys. Conf. Ser., vol. 1899, no. 1, p. 012091, May 2021, doi: 10.1088/1742-6596/1899/1/012091.

W. Sanusi, M. I. Pratama, M. Rifandi, S. Sidjara, Irwan, and S. Side, “Numerical Solution of SIRS model for Dengue Fever Transmission in Makassar Citywith Runge Kutta Method,” J. Phys. Conf. Ser., vol. 1752, no. 1, p. 012004, Feb. 2021, doi: 10.1088/1742-6596/1752/1/012004.

C. Yang and J. Wang, “A mathematical model for the novel coronavirus epidemic in Wuhan, China,” Math. Biosci. Eng. MBE, vol. 17, no. 3, pp. 2708–2724, Mar. 2020, doi: 10.3934/mbe.2020148.

T. Singhal, “A Review of Coronavirus Disease-2019 (COVID-19),” Indian J. Pediatr., vol. 87, no. 4, pp. 281–286, 2020, doi: 10.1007/s12098-020-03263-6.

Nurhaeda, S. Annas, and S. Side, “Analysis and simulation of mathematical model for typhus disease in Makassar,” J. Phys. Conf. Ser., vol. 1918, no. 4, p. 042025, Jun. 2021, doi: 10.1088/1742-6596/1918/4/042025.

W. Nur, H. Rachman, N. M. Abdal, M. Abdy, and S. Side, “SIR Model Analysis for Transmission of Dengue Fever Disease with Climate Factors Using Lyapunov Function,” J. Phys. Conf. Ser., vol. 1028, no. 1, p. 012117, Jun. 2018, doi: 10.1088/1742-6596/1028/1/012117.

S. Side, N. A. Muzakir, D. Pebriani, and S. N. Utari, “Model SEIR Kecanduan Game Online pada Siswa di SMP Negeri 3 Makassar,” Sainsmat J. Ilm. Ilmu Pengetah. Alam, vol. 9, no. 1, Art. no. 1, Mar. 2020, doi: 10.35580/sainsmat91199042020.

Published
2023-06-11
How to Cite
[1]
S. Side, W. Sanusi, A. Padjalangi, and M. Pratama, “HEALTH PROMOTION ANALYSIS AND SIMULATION ON INCREASING VACCINATION WITH USING THE SRV MODEL IN PINRANG DISTRICT”, BAREKENG: J. Math. & App., vol. 17, no. 2, pp. 0649-0658, Jun. 2023.