Mathematical Modeling of the Transmission Dynamics of Pediculosis Capitis

Abstract

This study presents a modified mathematical model to analyze the transmission dynamics of pediculosis capitis (head lice). By employing stability analysis on a modified model, we demonstrated that, when the basic reproduction number (R₀ < 1) is maintained below the critical threshold of one, complete eradication of head lice from a host population is achievable. Simulations based on our analytical results predict that this elimination can occur within a 30-day timeframe, providing a clear target for effective public health interventions.