Towards a viable control strategy for a model describing the dynamics of corruption

This paper explores the use of viability theory in the examination of corruption dynamics, using a susceptible-infected-recovered (SIR) model. In order to promote transparency, good governance, and sustainable economic growth, it is crucial to develop effective strategies for controlling corruption in society. Viability theory provides a framework for analyzing the long-term feasibility of different control policies by defining the set of constraints that define acceptable behavior for a given system. We use this framework to study the impact of different anti-corruption measures on the spread of corruption in a population. Our results show that a combination of measures targeting both the susceptible and corrupted populations can lead to significant reductions in corruption levels over time. We also discuss the challenges involved in applying viability theory to the study of corruption dynamics, including the need for reliable data and the limitations of simple models such as the SIR model. Our results highlight the potential of the viability theory as a valuable tool for promoting transparency, good governance, and sustainable development and suggest that further research in this area is needed to refine and improve the methods used. Our research offers a proof-of-concept for applying viability theory to manage the dynamics of corruption, paving the way for potential future research directions.