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A triangle model of criminality

Author

Listed:
  • Nuño, Juan C.
  • Herrero, Miguel A.
  • Primicerio, Mario

Abstract

This paper is concerned with a quantitative model describing the interaction of three sociological species, termed as owners, criminals and security guards, and denoted by X, Y and Z respectively. In our model, Y is a predator of the species X, and so is Z with respect to Y. Moreover, Z can also be thought of as a predator of X, since this last population is required to bear the costs of maintaining Z.

Suggested Citation

  • Nuño, Juan C. & Herrero, Miguel A. & Primicerio, Mario, 2008. "A triangle model of criminality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2926-2936.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:12:p:2926-2936
    DOI: 10.1016/j.physa.2008.01.076
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    References listed on IDEAS

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    1. Usher, Dan, 1989. "The Dynastic Cycle and the Stationary State," American Economic Review, American Economic Association, vol. 79(5), pages 1031-1044, December.
    2. Edward L. Glaeser & Bruce Sacerdote & José A. Scheinkman, 1996. "Crime and Social Interactions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(2), pages 507-548.
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    Cited by:

    1. Ganguly, Prasangsha & Mukherjee, Sayanti, 2021. "A multifaceted risk assessment approach using statistical learning to evaluate socio-environmental factors associated with regional felony and misdemeanor rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    2. Tripathi, Jai Prakash & Bugalia, Sarita & Burdak, Kavita & Abbas, Syed, 2021. "Dynamical analysis and effects of law enforcement in a social interaction model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    3. Sooknanan, Joanna & Seemungal, Terence A.R., 2023. "Criminals and their models - a review of epidemiological models describing criminal behaviour," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    4. Alves, Luiz G.A. & Ribeiro, Haroldo V. & Mendes, Renio S., 2013. "Scaling laws in the dynamics of crime growth rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(11), pages 2672-2679.
    5. Yuri M. Zhukov, 2014. "Theory of Indiscriminate Violence," Working Paper 365551, Harvard University OpenScholar.
    6. Aliyu, Major Murtala Bello & Baidu, Ali Audu & Abdulhamid, Bala Ma’aji & Ibrahim, Mohammed Olanrewaju & Mukhtar, Fu’ad Muhammad, 2023. "Assessing the impact of escalating attacks on soft targets by criminal gang: A modelling viewpoint using bifurcation analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 122-137.
    7. Bansal, Komal & Mathur, Trilok & Agarwal, Shivi, 2023. "Fractional-order crime propagation model with non-linear transmission rate," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    8. Alsenafi, Abdulaziz & Barbaro, Alethea B.T., 2018. "A convection–diffusion model for gang territoriality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 765-786.
    9. Isabella Torcicollo & Maria Vitiello, 2024. "Turing Instability and Spatial Pattern Formation in a Model of Urban Crime," Mathematics, MDPI, vol. 12(7), pages 1-15, April.

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