In order to improve heat transfer efficiency, it is essential to examine that MHD hybrid nanofluid flows behave under convective and slip boundary conditions. Researchers have looked at a variety of factors when adding hybrid nanofluids to these flows, including Forchheimer number, radiation, magnetic fields, Biot number, and the Joule heating. The novelty of the current study lies in investigating the consequences of Casson fluid in the Darcy Forchheimer flow of a three-dimensional rotating hybrid nanofluid, which have not been thoroughly covered in the literature. This includes combinations of heat sources/sinks, magnetic parameters, and radiation absorption as well as convective condition... 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 >