Rapid social transformation in metropolitan regions has significantly reshaped crime dynamics, particularly in large urban centers such as Delhi. Understanding whether crime escalation reflects structural social change or random fluctuation is crucial for policy formulation. This study investigates the relationship between social transformation and crime escalation in Delhi within the broader national context of India over the period 2010-2020. The analysis employs a quantitative time-series and econometric framework, including trend analysis, regression modeling, correlation, elasticity estimation, and structural diagnostics. Secondary data are obtained from the National Crime Records Burea... More >

A nonlinear compartmental model is developed to analyze crime dynamics in a structured society. The population is stratified into eight compartments: \(S(t)\) (susceptible), \(E(t)\) (exposed), \(C(t)\) (active criminals), \(C_v(t)\) (convicted criminals), \(P_h(t)\) (passive-honest), \(P_c(t)\) (committed-honest), \(J_h(t)\) (honest judges), and \(J_c(t)\) (corrupt judges). The model incorporates nonlinear mechanisms such as institutional corruption (\(\kappa_1\)), judicial correction (\(\kappa_2\)), recidivism feedback (\(\rho_1,\rho_2\)), exposure intensity (\(\eta_1\)), and rehabilitation (\(r_2\)), providing a realistic portrayal of crime--justice interactions. Solutions remain positive... More >