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Mathematical modeling and analysis of the influence of family background on the spread of crime

Author

Listed:
  • Abayomi Ayotunde Ayoade

    (University of Lagos)

  • Oluwatayo Michael Ogunmiloro

    (Ekiti State University)

  • Srinivasarao Thota

    (Vishwa Vidyapeetham)

Abstract

Crimes are social ills that make a society unsafe to live in. Since a child is born into a family and a society is made up of different families, we develop a model to study the influence of family background on the spread of crime in the society. Five compartments are considered including: those who can commit crime (S), those who are resistant to committing crime (R), those who are committing crime alone (I), those who are committing crime in group (G) and the criminals who are under rehabilitation (J). The validity of the model was established. Crime reproductive ratio $${\mathcal{C}}_{R}$$ C R was computed and used to derive the necessary and sufficient conditions for crime eradication and persistence. Simulation was conducted using the computer-in-built Runge–Kutta scheme implemented in software maple and the results showed that the effectiveness of crime education together with strict security and legal system up to 70% were sufficient to eradicate criminal activities in a community.

Suggested Citation

  • Abayomi Ayotunde Ayoade & Oluwatayo Michael Ogunmiloro & Srinivasarao Thota, 2024. "Mathematical modeling and analysis of the influence of family background on the spread of crime," Quality & Quantity: International Journal of Methodology, Springer, vol. 58(6), pages 5899-5920, December.
    • Handle: RePEc:spr:qualqt:v:58:y:2024:i:6:d:10.1007_s11135-024-01920-y
    DOI: 10.1007/s11135-024-01920-y
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    References listed on IDEAS

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    1. Leward Jeke & Tafadzwa Chitenderu & Clement Moyo, 2021. "Crime and Economic Development in South Africa: A Panel Data Analysis," International Journal of Economics & Business Administration (IJEBA), International Journal of Economics & Business Administration (IJEBA), vol. 0(2), pages 424-438.
    2. Karin Hederos Eriksson & Randi Hjalmarsson & Matthew J. Lindquist & Anna Sandberg, 2016. "The importance of family background and neighborhood effects as determinants of crime," Journal of Population Economics, Springer;European Society for Population Economics, vol. 29(1), pages 219-262, January.
    3. Cristian Pulido & Jeisson Prieto & Francisco Gómez, 2019. "How The Social Interactions in Communities affect the Fear of Crime," Systems Research and Behavioral Science, Wiley Blackwell, vol. 36(6), pages 789-798, November.
    4. Isabella Torcicollo & Maria Vitiello, 2024. "Turing Instability and Spatial Pattern Formation in a Model of Urban Crime," Mathematics, MDPI, vol. 12(7), pages 1-15, April.
    5. Bilali Mataru & Okelo Jeconiah Abonyo & David Malonza & Anum Shafiq, 2023. "Mathematical Model for Crimes in Developing Countries with Some Control Strategies," Journal of Applied Mathematics, Hindawi, vol. 2023, pages 1-14, February.
    6. Oluwatayo Michael Ogunmiloro & Adesoji Abraham Obayomi & Gazali Oluwasegun Agboola, 2024. "The Menace of Ghost Workers, Job Racketeers, and Creators of Online Job Offer Scam Sites on Unemployment in Nigeria: A Mathematical Model Analysis and Control," SN Operations Research Forum, Springer, vol. 5(2), pages 1-38, June.
    7. Ohene Opoku, Nicholas Kwasi-Do & Bader, Georg & Fiatsonu, Edem, 2021. "Controlling crime with its associated cost during festive periods using mathematical techniques," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
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