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Role of technology in combating social crimes: A modeling study

Published online by Cambridge University Press:  22 February 2013

J. B. SHUKLA ,
ASHISH GOYAL ,
KAPIL AGRAWAL ,
HARSH KUSHWAH  and
AJAY SHUKLA
J. B. SHUKLA
Affiliation:
Bhabha Group of Institutions, Kanpur (Rural) 209204, Uttar Pradesh, India email: jbs@iitk.ac.in
ASHISH GOYAL
Affiliation:
The LNMIIT, Jaipur 302031, Rajasthan, India email: agoyal.06@lnmiit.ac.in, kapil.06@lnmiit.ac.in, harsh.kushwah@gmail.com
KAPIL AGRAWAL
Affiliation:
The LNMIIT, Jaipur 302031, Rajasthan, India email: agoyal.06@lnmiit.ac.in, kapil.06@lnmiit.ac.in, harsh.kushwah@gmail.com
HARSH KUSHWAH
Affiliation:
The LNMIIT, Jaipur 302031, Rajasthan, India email: agoyal.06@lnmiit.ac.in, kapil.06@lnmiit.ac.in, harsh.kushwah@gmail.com
AJAY SHUKLA
Affiliation:
C-MEND, Kanpur 208017, Uttar Pradesh, India email: ajaishukla01@gmail.com
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Abstract

In this paper, a non-linear mathematical model is proposed and analysed to study the role of technology in combating social crimes in a dynamic population by considering immigration and emigration rates of susceptible population and criminals. The problem is modelled by considering five interacting variables, namely the density of susceptible population, the density of criminals, the density of removed (isolated) criminals, the density of crime burden and the level of technology used to control crime. The proposed model is analysed by using the stability theory of differential equation and simulation. The model analysis shows that the crime burden decreases considerably as the level of technology increases. It is noted that the crime in a society can be controlled almost completely if criminals from the general population are removed by intensive use of technology.

Keywords

CrimeCrime BurdenTechnologyMathematical Modeling

Information

Type
Papers
Information
European Journal of Applied Mathematics , Volume 24 , Issue 4 , August 2013 , pp. 501 - 514
Copyright
Copyright © Cambridge University Press 2013 

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