International records / OpenAlex research

A mathematical model of insecurity dynamics in Nigeria driven by weak governance and institutional failure

This study develops a deterministic mathematical model to examine insecurity in Nigeria as a structurally reinforced outcome of weak governance and socio-economic vulnerability. The model incorporates a governance feedback mechanism linking institutional breakdown to increased recruitment into insecurity, thereby capturing the cyclical interaction between vulnerability and instability. Analytical results establish a basic reproduction number R0​ that determines the persistence of insecurity. The insecurity-free equilibrium is stable when R0 <1, whereas a unique endemic equilibrium exists and i…