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Insights on Stochastic Dynamics for Transmission of Monkeypox: Biological and Probabilistic Behavior

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… Click to show full abstract

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 nonnegative solution is proven. Conditions leading to disease extinction are established. Asymptotic properties of the model are investigated such as the speed of transmission.

Keywords: transmission monkeypox; transmission; insights stochastic; monkeypox biological; dynamics transmission; stochastic dynamics

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2024

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