• MATHEMATICAL MODEL OF CRIMINALS AND GUARDS

RUHUL AMIN*

Abstract


This outline is concerned with a mathematical model describing the interaction of two sociological species, termed as Criminals and Guards. Using 15 major crime data covering the period 1995 to 2011 from the Delhi crime statistics, a simplest model is developed. We propose a system of two nonlinear first order ordinary differential equations with some parameters. Using the data and parameters the graph of the population fluctuation of the year of the criminals and Guards are drawn. The results suggest that if the Guards population rises, the criminals’ population falls rapidly.


Keywords


nonlinear, stability, pre-predator, equilibrium point, Jacobian, Eigenvalue.

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