Assessing the Impact of Migration on Corruption Dynamics

ABSTRACT Human movement of population plays an important role in the geographical spread of corruption at different levels of predominance. In this work, we have proposed a two‐patch mathematical model in order to examine the effect of human movement on corruption dynamics with different levels of prevalence between patches. Using the next‐generation matrix technique, the basic reproduction number at corruption‐free equilibrium was computed. Analysis of the model reveals that it has exactly four equilibriums, namely, corruption‐free equilibrium, two boundary endemic equilibria, and endemic equilibrium. The stability analysis results indicate that when the , the corruption‐free equilibrium points are asymptotically stable both locally and globally, whereas the endemic equilibrium points are asymptotically stable locally when the . In addition, the model's parameter sensitivity was examined. Numerical simulations indicate that people migration can help the corruption to become endemic in both patches, even though the corruption can die out in each isolated patch. However, if movement rates are continuously increased, the corruption may endemic again in both patches.