Dynamical Analysis of Mathematical Model of Social Behavior with Law Enforcement and Religious Approaches

 Abstract views: 44

Authors

  • Nailul Izzati Universitas Hasyim Asy'ari
  • Jati Leksono Universitas Hasyim Asy'ari
  • Nanndo Yannuansa Universitas Hasyim Asy'ari

DOI:

https://doi.org/10.36456/jstat.vol17.no1.a9289

Keywords:

Criminal behavior, Law enforcement, Mathematical model, Religious approaches, Social behavior

Abstract

Mathematical models could be used to describe various phenomena, one of which is social phenomena. One of the interesting social phenomena to study is criminal behavior. By dividing the total population into several compartments based on their social behavior status, a mathematical model could be constructed to depict social dynamics. These social dynamics could be understood through dynamical analysis and numerical simulation. In this study, numerical simulations were conducted using Maple 2022 software and the Runge-Kutta method. Based on the results of dynamical analysis and numerical simulations, it is known that by implementing law enforcement and religious approaches, criminal activities within a population could be reduced or even eliminated.

Downloads

Download data is not yet available.

References

Google Dictionary, “Crime Dictionary Definition,” 06 December 2023. [Online]. Available: https://languages.oup.com/google-dictionary-en/. [Accessed 06 December 2023].

J. Scott, “A Dictionary of Sociology,” 06 December 2023. [Online]. Available: https://www.oxfordreference.com/display/10.1093/acref/9780199683581.001.0001/acref-9780199683581-e-441. [Accessed 06 December 2023].

A. K. Misra, “Modeling the effect of police deterrence on the prevalence of crime in the society,” Applied Mathematics and Computation, vol. 237, pp. 531-545, 2014. DOI: https://doi.org/10.1016/j.amc.2014.03.136

S. Abbas, J. P. Tripathi and A. A. Neha, “Dynamical analysis of a model of social behaviour: Criminal vs non-criminal population,” Chaos, Solitons and Fractals, vol. 98, pp. 121-129, 2017. DOI: https://doi.org/10.1016/j.chaos.2017.03.027

G. González-Parra, B. Chen-Charpentier and H. V. Kojouharov, “Mathematical modeling of crime as a social epidemic,” Journal of Interdisciplinary Mathematics, vol. 21, no. 3, pp. 623-643, 2018. DOI: https://doi.org/10.1080/09720502.2015.1132574

J. P. Tripathi, S. Bugalia, K. Burdak and S. Abbas, “Dynamical analysis and effect of law enforcement in a social interarction model,” Physica A, vol. 567, p. 125725, 2021. DOI: https://doi.org/10.1016/j.physa.2020.125725

M. Kumar and S. Abbas, “Modelling and prevention of crime using age-structure and law enforcement,” Journal of Mathematical Analysis and Applications, vol. 519, no. 2, p. 126849, 2023. DOI: https://doi.org/10.1016/j.jmaa.2022.126849

S. Arora, T. Mathur and K. Tiwari, “A fractional-order model to study the dynamics of the spread of crime,” Journal of Computational and Applied Mathematics, vol. 426, p. 115102, 2023. DOI: https://doi.org/10.1016/j.cam.2023.115102

Mulyadi, “Agama dan Pengaruhnya dalam Kehidupan,” Jurnal Tarbiyah Al-Awlad, vol. 6, no. 2, pp. 556-564, 2016.

K. Ihsan, “Faktor Penyebab Anak Melakukan Tindakan Kriminal (Studi Kasus Lembaga Pemasyarakatan Pekanbaru Kelas II B),” JOM FISIP, vol. 3, no. 2, pp. 1-15, 2016.

A. S. Latifi, Suklani and Suteja, “Pengaruh Aktivitas Keagamaan Terhadap Perilaku Sosial Remaja Usia 13-18 Tahun di Blok 1 Desa Gembongan Induk Kecamatan Babakan Kabupaten Cirebon,” Al-Tarbawi Al-Haditsah: Jurnal Pendidikan Islam, vol. 3, no. 1, pp. 154-169, 2018. DOI: https://doi.org/10.24235/tarbawi.v3i1.2853

W. Pramesti, “Analisis Korespondensi Untuk Mengetahui Keterkaitan Tindak Pidana Dengan Usia, Jenis Kelamin, Tingkat Pendidikan, Pekerjaan Dan Alasan Melakukan Tindak Pidana,” J-Statistika, vol. 4, no. 2, pp. 41-54, 2012. DOI: https://doi.org/10.36456/jstat.vol4.no2.a1191

Downloads

Published

07/31/2024

How to Cite

Izzati, N., Leksono, J., & Yannuansa, N. (2024). Dynamical Analysis of Mathematical Model of Social Behavior with Law Enforcement and Religious Approaches. J Statistika: Jurnal Ilmiah Teori Dan Aplikasi Statistika, 17(1), 672–681. https://doi.org/10.36456/jstat.vol17.no1.a9289