• ADDING HOME GUARDS TO THE MATHEMATICAL MODEL OF CRIMINALS AND POLICE FORCES IN A CONTEMPORARY INDIAN COMMUNITY

RUHUL AMIN*

Abstract


A mathematical model of criminals and police forces is developed from the population dynamics in a contemporary Indian community, using fifteen major crime data covering the period 1995 to 2011 from Delhi crime statistics. We propose a modification adding Home guards to the mathematical model of criminals and Police forces. We derived a system of non linear first order differential equations. After determination of the fixed points of the system, a local stability analysis was investigated. The result suggests that criminals’ population falls rapidly if Home guards engaged in the society to help Police forces population.


Keywords


population dynamics, fixed point, Eigen value, Jacobian.

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