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ICCK Publications

Total Publications: 1
Open Access | Research Article | 15 January 2026
Equilibria and Stability Analysis of a Compartmental Model for Crime Dynamics with Recidivism and Corruption
ICCK Journal of Applied Mathematics | Volume 2, Issue 1: 1-43, 2026 | DOI: 10.62762/JAM.2025.240326
Abstract
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 >

Graphical Abstract
Equilibria and Stability Analysis of a Compartmental Model for Crime Dynamics with Recidivism and Corruption