Abstract Monkeypox (Mpox) has recently emerged as a serious threat to human health. Multiple outbreaks of human Mpox have been reported in Africa and North America over the past few years. This study presents a comprehensive computational analysis of Mpox dynamics using a two-model approach. Firstly, a deterministic model is formulated to study the transmission dynamics of Mpox. A basic analysis of the model is conducted, and the corresponding threshold parameter is evaluated.