2024
DOI: 10.1038/s41598-024-75034-8
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Mathematical modeling and analysis of the co-dynamics of crime and drug abuse

Dejen Ketema Mamo,
Mathew Ngugi Kinyanjui,
Shewafera Wondimagegnhu Teklu
et al.

Abstract: This study explores the dynamics of crime and substance abuse within a population by developing a novel mathematical model that integrates social interactions, rehabilitation efforts, and relapse probabilities. The model introduces a critical metric, the control reproduction number , to quantify the invasion threshold for these behaviors. The findings reveal that the crime/substance-free equilibrium is globally asymptotically stable when . At the same time, entrenched equilibria become … Show more

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