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Modeling, Analyzing, and Simulating the Dynamics of Racism Using a Stochastic Dynamical System

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  • Aychew Wondyfraw Tesfaye
  • Tariku Merga Tolasa
  • Endalew Hawi Cheri
  • Teferi Mengistu Mekonen

Abstract

Racism is a complex issue rooted in the historical Atlantic slave trade, which has led to inequalities and social instability. This study developed a stochastic mathematical model to analyze the dynamics, prevention, and control of racism. The entire population was categorized into susceptible, protected (those who deny racism), racist (those who propagate racism), jailed, and removal groups. The average number of racists caused by a single racist person R0S was computed using stochastic perturbation and Ito’s principle, yielding a numerical value of R0S=1.1254. This suggests that the endemic equilibrium point of the model is globally stable and provides insights for minimizing the propagation of racism. The study presented numerical simulations graphically using MATLAB software to examine the influence of key parameters. It was suggested that increasing the rate of being caught and imprisoned due to racism (δ), the protected rate (θ), and the removal rate (γ), as well as reducing the racist contact rate (α), can help minimize the basic reproductive number, leading to reduced propagation of racism. The importance of addressing influencing factors and taking appropriate measures to control racism effectively was emphasized, highlighting the role of denying racism in reducing its spread and promoting social equality.

Suggested Citation

  • Aychew Wondyfraw Tesfaye & Tariku Merga Tolasa & Endalew Hawi Cheri & Teferi Mengistu Mekonen, 2025. "Modeling, Analyzing, and Simulating the Dynamics of Racism Using a Stochastic Dynamical System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jnlaaa:v:2025:y:2025:i:1:n:2472412
    DOI: 10.1155/aaa/2472412
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    References listed on IDEAS

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    1. Dejen Ketema Mamo & Tarekegn Kassahun Mengstie & Toshikazu Kuniya, 2023. "Racism Dissemination Model and Simulation Analysis Considering Crowd Classification with Intervention Strategies," Complexity, Hindawi, vol. 2023, pages 1-15, February.
    2. Abayneh Kebede Fantaye & Zerihun Kinfe Birhanu & Bruno Carpentieri, 2022. "Mathematical Model and Analysis of Corruption Dynamics with Optimal Control," Journal of Applied Mathematics, Hindawi, vol. 2022, pages 1-16, January.
    3. Shewafera Wondimagegnhu Teklu & Belela Samuel Kotola & Haileyesus Tessema Alemneh, 2024. "Smoking and alcoholism dual addiction dissemination model analysis with optimal control theory and cost-effectiveness," PLOS ONE, Public Library of Science, vol. 19(10), pages 1-43, October.
    4. Abayneh Kebede Fantaye & Zerihun Kinfe Birhanu, 2022. "Mathematical Model and Analysis of Corruption Dynamics with Optimal Control," Journal of Applied Mathematics, John Wiley & Sons, vol. 2022(1).
    Full references (including those not matched with items on IDEAS)

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