Mathematical modeling on transmission and optimal control strategies of corruption dynamics

In this research, we examine a deterministic mathematical model to investigate the prevalence of corruption in society. We assume that corruption in society spreads like an infectious disease, and our model is based on this notion. The model's equilibria are identified, and the stability of these equilibria is studied in depth. At the corruption free equilibrium points (CFEP), the next generation matrix technique is used to estimate the corruption model's Corruption Transmission Generation Number (R-C). The CFEP is stable when R-C < 1, however, when R-C > 1, the corruption persistence equilibrium points indicates the existence of corrupted persons in society. A forward bifurcation can occur when R-C = 1. The worldwide asymptotic stability of CFEP is determined by further investigation. The goal of this work is to identify the parameters of interest for additional research, with the objective of informing and supporting policymakers in maximizing the effectiveness of preventive and therapeutic efforts.