DYNAMICS OF CRIMINAL ACTIVITY

Ruhul Amin

doi:https://doi.org/10.14445/22315373/IJMTT-V65I11P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 11 | Year 2019 | Article Id. IJMTT-V65I11P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I11P504

DYNAMICS OF CRIMINAL ACTIVITY

Ruhul Amin

Citation :

Ruhul Amin, "DYNAMICS OF CRIMINAL ACTIVITY," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 11, pp. 39-49, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I11P504

Abstract

The issue of Criminal activities in our societies remains a major challenge. It is very difficult to eradicate Criminal activities from the societies. In recent years researchers highlight applied mathematics as valuable theoretical resources that may help us better understand criminal activity. In this paper we review the Berestycki and Nadal’s model of Dynamics of criminal activity and formation of crime hotspots. We also propose adding repeated victimization leaving aside the term ‘risk associated with cost for criminal activities’ in our model.

Keywords

crime hotspots, repeated victimization, acting out function

References

[1] Becker, G.S. (1968) “Crime and Punishment: An Economic Approach,” Journal of Political Economy 76: 169-217.
[2] Ehrlich, I. (1973) “Participation in Illegitimate Activities: A Theoretical and Empirical Investigation”. Journal of political Economy, Vol. 18, 521-565.
[3] Ehrlich. I. (1975) “The Deterrent Effect of Capital Punishment: A Question of Life and Death.” American Economic Review 65: 397-417.
[4] Ehrlich, I. (1996) “Crime, Punishment and the Market for Offences,” Journal of Economic Perspectives, Vol.10,No.1, pp. 43-67.
[5] Glaeser, E. L., Sacerdote, B. and J. scheinkman (1995) “Crime and social interactions” Hoover Institution Working Paper No. E-95-2.
[6] Glaeser, E. L., and J. Scheinkman (1999) “Measuring social interactions”. NBER, and “Why is There More Crime in Cities?” Journal of Political Economy, 107, pp. 508-548.
[7] Glaeser, E. L., and J. Scheinkman (1997) “Social interactions and Long-Range Dependence”
[8] Glaeser, E. L., Sacerdote, B. and J. Scheinkman (1996) “Crime and social interactions” Quarterly Journal of Economics, 111, 507-548.
[9] Amin, R (2019) Mathematical Model of Crime and Literacy Rates, International Journal of Mathematics Trends and Technology, Vol. 65 Issue 9.
[10] Amin, R (2019) Mathematical Model of Crime and Unemployment, International Journal of Engineering Research and Technology, Vol. 8 Issue 9.
[11] Cambel, M. & Ormerod, P. (1998) Social interaction and the dynamic of crime.
[12] Amin,R(2017) Mathematical Model of Criminals and Guards, International Journal of Mathematical Archive, Vol. 8(3). Pp. 131-137.
[13] Berestycki, H. and Nadal, J. P.(2010) Self-organised critical hot spots of criminal activity, Eur. Journal of Applied Mathematics,vol.21,pp 371-399.
[15] Clarke, R. V. & Felson, M. (editors) (1993) Routine activity and Rational choice. Advances in criminological theory, Vol. 5, Transaction Books, New Brunswick, NJ.
[16] Cohen, L.E. and Felson, M. (1979) “Social Change and Crime Rate Trends- A Routine Activity Approach”. American Sociological Review, Vol. 44, pp. 588-608.
[17] Pitcher, A.B., Adding police to a mathematical model of burglary, Eur. Journal of Applied Mathematics,vol.21,pp 401-419.