Simulasi numerik model matematika untuk menganalisis relasi antara korupsi dan dinamika penyebaran penyakit menular

Julieta B.A. Radja, Meksianis Zadrak Ndii

Abstract


A mathematical model has been widely used to understand complex phenomena in biology, social, and politics. A number of mathematical model has been formulated to understand infectious diseases or corruption phenomena. However, to the best of our knowledge, none of the work has has been conducted to investigate the relation of corruption and transmission dynamics of infectious diseases. In this work, a structured model in the form of system of differential equations has been formulated to investigate the relation between corruption and transmission dynamics of infectious diseases. In this work, a novel mathematical model has been formulated to investigate the relation between corruption and the transmission dynamics of infectious diseases. The results showed that in the presence of corruption the number of infections is higher compared to that in the absence of corruption. Although the implementation of public health intervention can reduce the number of infections, the presence of corruption can increase the disease incidence. This implies that corruption potentially hinder the effort for disease elimination. Numerical simulations showed that in the absence of corruption, the level of efficacy of public health intervention can reduce the number of infections. It showed that 80% efficacy level can eliminate the disease cases, which cannot be achieved in the presence of corruption. The results suggest that the corruption should be minimized in order to achieve disease elimination. When data becomes available, the model would be validated against the data.

Keywords


Mathematical Model; Corruption; Numerical Simulation

Full Text:

PDF

References


C. G. N. Nathan Oigo Mokaya, Haileyesus Tessema Alemmeh and G. G. Muthuri, “Mathematical modelling and analysis of corruption of morals amongst adolescents with control measures in kenya,” Discrete Dynamics in Nature and Society, vol. 2021, no. 6662185, p. 16, 2021. DOI: 10.1155/2021/6662185

D. Kesehatan, https://dinkes-kotakupang.web.id/cgi-sys/suspendedpage.cgi, 2021, [Online; accessed 11-Maret-2022].

H. S. Panigoro, E. Rahmi, N. Achmad, and S. L. Mahmud, “The Influence of Additive Allee Effect and Periodic Harvesting to the Dynamics of LeslieGower Predator-Prey Model,” Jambura Journal of Mathematics, vol. 2, no. 2, pp. 87–96, 2020. DOI: 10.34312/jjom.v2i2.4566

H. S. Panigoro, A. Suryanto, W. M. Kusumawinahyu, and I. Darti, “Dynamics of an Eco-Epidemic Predator–Prey Model Involving Fractional Derivatives with Power-Law and Mittag–Leffler Kernel,” Symmetry, vol. 13, no. 5, p. 785, 2021. DOI: 10.3390/sym13050785

M. Z. Ndii, Pemodelan Matematika. Penerbit NEM, 2022. ISBN 9786234231144

S. Athithan, M. Ghosh, and X.-Z. Li, “Mathematical modeling and optimal control of corruption dynamics,” Asian-European Journal of Mathematics, vol. 11, no. 06, p. 1850090, 2018. DOI: 10.1142/S1793557118500900

K. Y. Lim, “Modelling the dynamics of corruption and unemployment with heterogeneous labour,” Economic Modelling, vol. 79, pp. 98–117, 2019. DOI: 10.1016/j.econmod.2018.10.004

V. N. Kolokoltsov and O. A. Malafeyev, “Mean-Field-Game Model of Corruption,” Dynamic Games and Applications, vol. 7, no. 1, pp. 34–47, 2017. DOI: 10.1007/s13235-015-0175-x

S. Brianzoni, R. Coppier, , and E. Michetti, “Complex dynamics in a growth model with corruption in public procurement,” Discrete Dynamics in Nature and Society, vol. 2011, p. 27, 2011. DOI: 101155/2011/862396

A. K. Fantaye and Z. K. Birhanu, “Mathematical model and analysis of corruption dynamics with optimal control,” Journal of Applied Mathematics, vol. 2022, no. 8073877, pp. 1–16, 2022. DOI: 10.1155/2022/8073877




DOI: https://doi.org/10.34312/jjbm.v3i1.14187

Copyright (c) 2022 Julieta B.A. Radja, Meksianis Zadrak Ndii

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Jambura Journal of Biomathematics (JJBM) has been indexed by:

                          EDITORIAL OFFICE OF JAMBURA JOURNAL OF BIOMATHEMATICS

 Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Gorontalo
Jl. Prof. Dr. Ing. B. J. Habibie, Moutong, Tilongkabila, Kabupaten Bone Bolango 96554, Gorontalo, Indonesia
 Email: editorial.jjbm@ung.ac.id
 +6281356190818 (Call/SMS/WA)
 Jambura Journal of Biomathematics (JJBM) by Department of Mathematics Universitas Negeri Gorontalo is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.  Powered by Public Knowledge Project OJS.
slot online slot gacor slot