IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2023y2023i1n8699882.html

Mathematical Model for Crimes in Developing Countries with Some Control Strategies

Author

Listed:
  • Bilali Mataru
  • Okelo Jeconiah Abonyo
  • David Malonza

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.

Suggested Citation

  • Bilali Mataru & Okelo Jeconiah Abonyo & David Malonza, 2023. "Mathematical Model for Crimes in Developing Countries with Some Control Strategies," Journal of Applied Mathematics, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnljam:v:2023:y:2023:i:1:n:8699882
    DOI: 10.1155/2023/8699882
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2023/8699882
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/8699882?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Raphael, Steven & Winter-Ember, Rudolf, 2001. "Identifying the Effect of Unemployment on Crime," Journal of Law and Economics, University of Chicago Press, vol. 44(1), pages 259-283, April.
    2. Graversen, Brian Krogh & van Ours, Jan C., 2008. "How to help unemployed find jobs quickly: Experimental evidence from a mandatory activation program," Journal of Public Economics, Elsevier, vol. 92(10-11), pages 2020-2035, October.
    3. 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.
    4. 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).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Theodoropoulos, Nikolaos & Voucharas, Georgios, 2023. "Firm Closures and Labor Market Policies in Europe: Evidence from Retrospective Longitudinal Data," GLO Discussion Paper Series 1288, Global Labor Organization (GLO).
    3. Chletsos, Michael & Sintos, Andreas, 2023. "The effects of IMF conditional programs on the unemployment rate," European Journal of Political Economy, Elsevier, vol. 76(C).
    4. Garfield O. Blake, 2015. "Using Increases in Criminal Deportees from the US to Estimate the Effect of Crime on Economic Growth and Development in Latin America and the Caribbean," Laws, MDPI, vol. 4(4), pages 1-18, November.
    5. repec:osf:osfxxx:s8ayp_v1 is not listed on IDEAS
    6. Steven Raphael, 2014. "The New Scarlet Letter? Negotiating the U.S. Labor Market with a Criminal Record," Books from Upjohn Press, W.E. Upjohn Institute for Employment Research, number nsc.
    7. Bruno Crépon & Marc Gurgand & Thierry Kamionka & Laurent Lequien, 2013. "Is Counseling Welfare Recipients Cost-Effective ? Lessons from a Random Experiment," Working Papers 2013-01, Center for Research in Economics and Statistics.
    8. Hainmueller, Jens & Marbach, Moritz & Hangartner, Dominik & Harder, Niklas & Vallizadeh, Ehsan, 2025. "Refugee Labor Market Integration at Scale: Evidence from Germany’s Fast-Track Employment Program," SocArXiv px9ew_v2, Center for Open Science.
    9. Brian Graversen & Brian Larsen, 2013. "Is there a threat effect of mandatory activation programmes for the long-term unemployed?," Empirical Economics, Springer, vol. 44(2), pages 1031-1051, April.
    10. Edward M. Shepard & Paul R. Blackely, 2010. "Economics of Crime and Drugs: Prohibition and Public Policies for Illicit Drug Control," Chapters, in: Bruce L. Benson & Paul R. Zimmerman (ed.), Handbook on the Economics of Crime, chapter 10, Edward Elgar Publishing.
    11. Simon Luechinger & Stephan Meier & Alois Stutzer, 2010. "Why Does Unemployment Hurt the Employed?: Evidence from the Life Satisfaction Gap Between the Public and the Private Sector," Journal of Human Resources, University of Wisconsin Press, vol. 45(4), pages 998-1045.
    12. Otto Lenhart, 2021. "Earned income tax credit and crime," Contemporary Economic Policy, Western Economic Association International, vol. 39(3), pages 589-607, July.
    13. Bennmarker, Helge & Skans, Oskar Nordström & Vikman, Ulrika, 2013. "Workfare for the old and long-term unemployed," Labour Economics, Elsevier, vol. 25(C), pages 25-34.
    14. Jaewook Byeon & Iljoong Kim & Dongwon Lee, 2018. "Protest and property crime: political use of police resources and the deterrence of crime," Public Choice, Springer, vol. 175(1), pages 181-196, April.
    15. Sumera Arshad & Amajd Ali, 2016. "Trade-off between Inflation, Interest and Unemployment Rate of Pakistan: Revisited," Bulletin of Business and Economics (BBE), Research Foundation for Humanity (RFH), vol. 5(4), pages 193-209, December.
    16. Ha, Olivia K. & Andresen, Martin A., 2017. "Unemployment and the specialization of criminal activity: A neighborhood analysis," Journal of Criminal Justice, Elsevier, vol. 48(C), pages 1-8.
    17. Milo Bianchi & Paolo Buonanno & Paolo Pinotti, 2012. "Do Immigrants Cause Crime?," Journal of the European Economic Association, European Economic Association, vol. 10(6), pages 1318-1347, December.
    18. Manea, Roxana Elena & Piraino, Patrizio & Viarengo, Martina, 2023. "Crime, inequality and subsidized housing: Evidence from South Africa," World Development, Elsevier, vol. 168(C).
    19. Tantawy Moussa & Amir Allam & Mahmoud Elmarzouky, 2022. "Global modern slavery and sustainable development goals: Does institutional environment quality matter?," Business Strategy and the Environment, Wiley Blackwell, vol. 31(5), pages 2230-2244, July.
    20. Iddisah Sulemana, 2015. "The Effect of Fear of Crime and Crime Victimization on Subjective Well-Being in Africa," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 121(3), pages 849-872, April.
    21. Lovett Nicholas, 2018. "Food Stamps, Income Shocks, and Crime: Evidence from California," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 18(4), pages 1-19, October.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnljam:v:2023:y:2023:i:1:n:8699882. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.