Mathematical Model for Crimes in Developing Countries with Some Control Strategies
Open Access
- 7 February 2023
- journal article
- research article
- Published by Hindawi Limited in Journal of Applied Mathematics
- Vol. 2023, 1-14
- https://doi.org/10.1155/2023/8699882
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.Keywords
Funding Information
- Pan African University Scholarship
This publication has 28 references indexed in Scilit:
- Youths unemployment and crime in Nigeria: A nexus and implications for national developmentInternational Journal of Sociology and Anthropology, 2013
- Productivity loss, victim costs and the intangible costs of crime: follow-up to a longitudinal study of criminal justice system involvement and costs of women with co-occurring substance abuse and mental disorders in SwedenMental Health and Substance Use, 2013
- Optimal control strategies and cost-effectiveness analysis of a malaria modelBiosystems, 2013
- A Delay Mathematical Model for the Control of UnemploymentDifferential Equations and Dynamical Systems, 2013
- LEARNING TO BE BAD: ADVERSE SOCIAL CONDITIONS, SOCIAL SCHEMAS, AND CRIME*Criminology, 2011
- A mathematical model for unemploymentNonlinear Analysis: Real World Applications, 2011
- How to help unemployed find jobs quickly: Experimental evidence from a mandatory activation programJournal of Public Economics, 2008
- A STATISTICAL MODEL OF CRIMINAL BEHAVIORMathematical Models and Methods in Applied Sciences, 2008
- Identifying the socio-economic and demographic determinants of crime across Spanish provincesInternational Review of Law and Economics, 2008
- IS DIFFERENTIAL ASSOCIATION/SOCIAL LEARNING CULTURAL DEVIANCE THEORY?*Criminology, 1996