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

Abayomi Ayotunde Ayoade (), Oluwatayo Michael Ogunmiloro and Srinivasarao Thota
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Abayomi Ayotunde Ayoade: University of Lagos
Oluwatayo Michael Ogunmiloro: Ekiti State University
Srinivasarao Thota: Vishwa Vidyapeetham

Quality & Quantity: International Journal of Methodology, 2024, vol. 58, issue 6, No 37, 5899-5920

Abstract: 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.

Keywords: Crime; Society; Family background; Reproductive ratio; Numerical simulation; 34H05; 49J15; 49K15; 93C15 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s11135-024-01920-y

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