Mathematical Modelling of Poverty, Cybercrime, and Prostitution Dynamics in South-South, Nigeria

This study used a compartmentalized mathematical model to evaluate and establish the complex relationships existing between poverty, cybercrime, and prostitution. The model explains the dynamics of socioeconomic factors using the concepts of ordinary differential equations (ODE). The Routh Array criterion was adopted to perform stability analysis and identify the dynamical system's stable state. Numerical simulations were performed to illustrate the effects of various policy interventions, such as economic empowerment and law enforcement measures on the system. Findings showed that enhanced intervention strategies could result in significant poverty alleviation, reduction of cybercrime rate, and decrease in the number of those engaged in prostitution. This assessment demonstrates that poverty reduction strategies successfully limit the progression of these moral issues within the region. The model is an essential decision-making instrument that helps policymakers create efficient socioeconomic programmes.