Mathematical Model for Crimes in Developing Countries with Some Control Strategies

Crime is one among the most challenging problems in most developing countries in which unemployment is among the causes. Not all kind of crimes can be eradicated indeed; this paper is intended to contribute on eradication of unemployment-related crimes in the developing countries by proposing a dete...

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Published inJournal of applied mathematics Vol. 2023; pp. 1 - 14
Main Authors Mataru, Bilali, Abonyo, Okelo Jeconiah, Malonza, David
Format Journal Article
LanguageEnglish
Published New York Hindawi 07.02.2023
John Wiley & Sons, Inc
Wiley
Subjects
Analysis
Centre manifold theory
Crime
Criminology
Developing countries
Employment
Epidemiology
LDCs
Lipschitz condition
Mathematical analysis
Mathematical models
Occupational training
Robbery
Self employment
Training
Unemployment
Africa
Online AccessGet full text
ISSN1110-757X
1687-0042
DOI10.1155/2023/8699882

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Abstract Crime is one among the most challenging problems in most developing countries in which unemployment is among the causes. Not all kind of crimes can be eradicated indeed; this paper is intended to contribute on eradication of unemployment-related crimes in the developing countries by proposing a deterministic mathematical model of unemployment-crime dynamics including vocational training and employment as control measures for crime. The study adopts the epidemiological model concepts on model formulation and model analysis while considering unemployment as main driver of crime. The basic properties of the model are analyzed, and well-posed of the model is established by using the Lipschitz condition. The next-generation matrix is used to obtain the criminal reproduction number which help to derive the conditions for local and global stability of the model. Moreover, the existence of backward and forward bifurcation when the crime reproduction number is equal to one was analyzed by center manifold theory. Simulations of the model are carried out to validate the theoretical part of the model and demonstrate vocational training, and employment strategies are more effective in combating crime when applied simultaneously. The findings suggest that unemployment problem should be addressed in order to reduce the number of unemployed individuals in joining the criminal activities.
AbstractList Crime is one among the most challenging problems in most developing countries in which unemployment is among the causes. Not all kind of crimes can be eradicated indeed; this paper is intended to contribute on eradication of unemployment-related crimes in the developing countries by proposing a deterministic mathematical model of unemployment-crime dynamics including vocational training and employment as control measures for crime. The study adopts the epidemiological model concepts on model formulation and model analysis while considering unemployment as main driver of crime. The basic properties of the model are analyzed, and well-posed of the model is established by using the Lipschitz condition. The next-generation matrix is used to obtain the criminal reproduction number which help to derive the conditions for local and global stability of the model. Moreover, the existence of backward and forward bifurcation when the crime reproduction number is equal to one was analyzed by center manifold theory. Simulations of the model are carried out to validate the theoretical part of the model and demonstrate vocational training, and employment strategies are more effective in combating crime when applied simultaneously. The findings suggest that unemployment problem should be addressed in order to reduce the number of unemployed individuals in joining the criminal activities.
Audience Academic
Author Abonyo, Okelo Jeconiah
Mataru, Bilali
Malonza, David
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crossref_primary_10_1016_j_apm_2024_115642
crossref_primary_10_1016_j_amc_2023_128073
crossref_primary_10_3390_e26110906
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Copyright Copyright © 2023 Bilali Mataru et al.
COPYRIGHT 2023 John Wiley & Sons, Inc.
Copyright © 2023 Bilali Mataru et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0
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SubjectTerms Analysis
Centre manifold theory
Crime
Criminology
Developing countries
Employment
Epidemiology
LDCs
Lipschitz condition
Mathematical analysis
Mathematical models
Occupational training
Robbery
Self employment
Training
Unemployment
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Title Mathematical Model for Crimes in Developing Countries with Some Control Strategies
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