  The transmission of monkeypox is studied using a stochastic model taking into
account the biological aspects, the contact mechanisms and the demographic
factors together with the intrinsic uncertainties. Our results provide insight
into the interaction between stochasticity and biological elements in the
dynamics of monkeypox transmission. The rigorous mathematical analysis
determines threshold parameters for disease persistence. For the proposed
model, the existence of a unique global almost sure non-negative solution is
proven. Conditions leading to disease extinction are established. Asymptotic
properties of the model are investigated such as the speed of transmission.
