“…In this paper, we develop an efficient third-step second-order convergent explicit numerical approach for solving a system of nonlinear ODEs modeled by the dynamic of poverty and corruption. The proposed numerical scheme is stable for any value of the initial condition, second-order convergence, fast and more efficient than a large class of numerical techniques widely studied in the literature for solving similar problems [25,55,15,3,6,10,27]. The numerical experiments are performed using the data coming from Cameroon, a country located in central Africa and where corruption can be compared to a "pathology" and poverty reached the half of poverty line [54,47].…”