A dynamic economic model of criminal activity in the criminal law

  • Authors

    • Fatemeh Seddighi Chaharborj
    • Babak Pourghahramani
    • Sarkhosh Seddighi Chaharborj Department of Mathematics, UPM, Malaysia.Nuclear Science Research School, Nuclear Science and Technology Research Institute (NSTRI), Iran
  • Criminal Activity, Criminal Law, Economic Model, Dynamic System, Reproductive Number, Jacobian Matrix.
  • Poverty and crime are two major problem areas. The economic theory of crime shows a direct correlation between poverty and crime. In this study, we propose a model that shows the correlation between poverty and crime. Then we obtain the dynamic system of the proposed model. In the next step, we will compute the reproductive number by finding the maximum eigenvalue of Jacobian matrix to study of stability and un-stability of the presented model.

  • References

    1. [1] Baker 2007, A Dynamic Model of Crime and Punishment, new York. Ny, 10021.

      [2] Chow, C., Gutkin, B., Hansel, D., Meunier, C. & Dalibard, J.(editors) (2004) Methods and Models in Neurophysics. Session LXXX, Lecture Notes of the Les Houches Summer School 2003, Elsevier.

      [3] Gordon, M. B. (2010). A random walk in the literature on criminality: A partial and critical view on some statistical analyses and modelling approaches. European Journal of Applied Mathematics, 21(4-5), 283-306. https://doi.org/10.1017/S0956792510000069.

      [4] Sarkhosh, S. Ch., Abu Bakar, M. R., & Ebadian, A. (2010). Disease transmission MSEIR model with individuals traveling between patches i and i+ 1. Journal of Applied Mathematics and Informatics, 28(5-6), 1073-1088.

      [5] Sarkhosh, S. Ch., Bakar, M., Fudziah, I., Akma, I., Malik, A., & Alli, V. (2010). Behavior stability in two SIR-style models for HIV. Int. Journal of Math Analysis, 4(9), 427-434.

      [6] Sarkhosh, S. Ch., Fudziah, I., Bakar, M. A., Chaharborj, R. S., Majid, Z. A., & Ahmad, A. G. B. (2013). The use of generation stochastic models to study an epidemic disease. Advances in Difference Equations, 2013(1), 1-9.

      [7] Sarkhosh, S. Ch., Mohd Rizam, A. B., & Fudziah, I. (2012). Study of stochastic systems for epidemic disease models. In International Journal of Modern Physics: Conference Series (Vol. 9, pp. 373-379). World Scientific Publishing Company.

      [8] Zhao, H., Feng, Z., & Castillo-Chavez, C. (2014). The dynamics of poverty and crime. Journal of Shanghai Normal University (Natural Sciences· Mathematics).

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  • How to Cite

    Chaharborj, F. S., Pourghahramani, B., & Chaharborj, S. S. (2017). A dynamic economic model of criminal activity in the criminal law. International Journal of Basic and Applied Sciences, 6(4), 73-76. https://doi.org/10.14419/ijbas.v6i4.7969