Mathematical Model of Community Participation Levels in Elections in Medan City
DOI:
https://doi.org/10.26877/asset.v6i3.792Keywords:
Election, Mathematical model, Equilibrium point, StabilityAbstract
Political participation is one of the benchmarks of a country's democracy. This can be seen from their involvement in elections. Every general election must have a white group called abstainers who usually consciously do not using their voting rights which may influence individuals not to use their voting rights in general elections. Medan City is the city with the second highest number of abstainers in North Sumatra Province at 33.33%. This study will model the level of public participation in elections in Medan City by comparing the level of public participation in the 2019 and 2024 presidential elections. From the model, two equilibrium points are obtained, namely abstainer and abstainer-free equilibrium points, basic reproduction number and stability analysis of the equilibrium point. The simulation results for 2019 and 2024 showed that for , the abstainer population increases so that the abstainer equilibrium point is asymptotically stable. Then for , the abstainer population will gradually disappear
References
D. A. Putri, W. Windarto, and C. Alfiniyah, “Analisis Kestabilan dan Kontrol Optimal Model Matematika Partisipasi Pemilih pada Pemilihan Umum dengan Saturated Incidence Rate,” Contemp. Math. Appl., vol. 3, no. 1, p. 19, 2021, doi: 10.20473/conmatha.v3i1.26939.
M. Anshar, Faisal, and L. A. Siska, “Model Matematika Penyebaran Konstituen Dalam Pemilihan Umum Presiden dengan Adanya Media Massa,” vol. 17, no. 2, pp. 200–209, 2023.
M. Indriany, “Partisipasi Masyarakat Dalam Pemilu 2019 Di Kabupaten Kutai Kartanegara,” eJournal Ilmu Pemerintah., vol.8, no. 2, pp. 545–558, 2020, https://ejournal.ip.fisip-unmul.ac.id.
D. Suparto, Membangun Kesadaran dan Partisipasi Politik Masyarakat. Bandung: CV Cendikia Press, 2020.
fadjar T. Sakti, Pengantar Ilmu Politik. Bandung: Fakultas Ilmu Sosial dan, 2020.
M. A. Iqbal, “Partisipasi Politik Masyarakat Dalam Pemilihan Umum Tahun 2019 Di Kecamatan Tahuna Kabupaten Kepulauan Sangihe,” J. Eksek., vol. 1, no. 4, pp. 827–836, 2020.
Badan Pusat Statistik, Statistik Politik 2019. Badan Pusat Statistik, 2019. [Online]. Available: https://www.bps.go.id/id/publication/2019/12/17/statistik-politik-2019.html
Badan Pusat Statistik Provinsi Sumatera Utara, Statistik Politik dan Keamanan Provinsi Sumatera Utara 2019. [Online]. Available: https://sumut.bps.go.id/publication/2020/11/23.html
A. S. Putri and N. E. Putri, “Faktor-Faktor Yang Mempengaruhi Partisipasi Politik Pemilih Pada Pilkada Serentak Kab 50 Kota Di Kecamatan Guguak,” JISIP (Jurnal Ilmu Sos. dan Pendidikan), vol. 6, no. 2, pp. 3747–3756, 2022, doi: 10.58258/jisip.v6i2.2955.
M. . I. H. Rastami and Halking, “Peran Masyarakat dalam Partisipasi Politik Menghadapi Pemilihan Umum tahun 2024,” J. Mhs. Karakter Bangsa, vol. 2, no. 1, pp. 136–143, 2023.
S. Side, W. Sanusi, and N. K. Rustan, “Model Matematika SIR Sebagai Solusi Kecanduan Penggunaan Media Sosial,” J. Math. Comput. Stat., vol. 3, no. 2, p. 126, 2020, doi: 10.35580/jmathcos.v3i2.20124.
B. Yong, “Model dinamika penyebaran pemilih dengan menggunakan pendekatan epidemiologi,” pp. 155–160, 2020.
A. Nurkifayah, E. Cahyono, M. Mukhsar, and A. Sani, “Analisis Model Sir Menggunakan Metode Euler Dan Runge-Kutta Orde Empat,” J. Mat. Komputasi dan Stat., vol. 2, no. 3, pp. 208–217, 2023, doi: 10.33772/jmks.v2i3.23.
A. Agus, R. Rahmawati, and F. Fardinah, “Model Epidemi SIR Pengguna/Pemain Mobile Games Pada Mahasiswa Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Sulawesi Barat,” J. Math. Theory Appl., vol. 2, no. 2, pp. 46–53, 2021, doi: 10.31605/jomta.v2i2.1185.
B. Yong, “A Mathematical Modelling of the Dynamics of Voters Model of Two Political Fanaticism Figures with the Interaction between Voters in Indonesian Presidential Elections,” J. Phys. Conf. Ser., vol. 2123, no. 1, 2021, doi: 10.1088/1742-6596/2123/1/012006.
B. Yong and N. A. Samat, “The SIR political fanaticism figure voters model for estimating number of votes in Indonesia presidential elections,” Model Assist. Stat. Appl., vol. 13, no. 3, pp. 279–286, 2018, doi: 10.3233/MAS-180434.
B. Yong, “Effect of Undecided and Swing Voters on the Dynamics Voters Model in Presidential Elections,” J. Phys. Conf. Ser., vol. 2123, no. 1, 2021, doi: 10.1088/1742-6596/2123/1/012012.
O. Balatif, A. Labzai, and M. Rachik, “A discrete mathematical modeling and optimal control of the electoral behavior with regard to a political party,” Discret. Dyn. Nat. Soc., vol. 2018, 2018, doi: 10.1155/2018/9649014.
O. Balatif, B. Khajji, and M. Rachik, Mathematical Modeling, Analysis, and Optimal Control of Abstinence Behavior of Registration on the Electoral Lists, vol. 2020, no. January. 2020. doi: 10.1155/2020/9738934.
P. W. Yubelian and N. Y. Megawati, “Model Matematika Tingkat Partisipasi Masyarakat dalam Pemilu di Indonesia,” Limits J. Math. Its Appl., vol. 20, no. 3, p. 289, 2023, doi: 10.12962/limits.v20i3.16301.
