Mathematical analysis and dynamical transmission of monkeypox virus model with fractional operator

M Farman, A Akgül, H Garg, D Baleanu… - Expert …, 2025 - Wiley Online Library
Expert Systems, 2025Wiley Online Library
Monkeypox virus is one of the major causes of both smallpox and cowpox infection in our
society. It is typically located next to tropical rain forests in remote villages in Central and
West Africa. The disease is brought on by the monkeypox virus, a member of the
Orthopoxvirus genus and the Poxviridae family. For analysis and the dynamical behaviour of
the monkeypox virus infection, we developed a fractional order model with the Mittag‐Leffler
kernel. The uniqueness, positivity, and boundedness of the model are treated with fixed …
Abstract
Monkeypox virus is one of the major causes of both smallpox and cowpox infection in our society. It is typically located next to tropical rain forests in remote villages in Central and West Africa. The disease is brought on by the monkeypox virus, a member of the Orthopoxvirus genus and the Poxviridae family. For analysis and the dynamical behaviour of the monkeypox virus infection, we developed a fractional order model with the Mittag‐Leffler kernel. The uniqueness, positivity, and boundedness of the model are treated with fixed point theory results. A Lyapunov function is used to construct both local and global asymptotic stability of the system for both endemic and disease‐free equilibrium points. Finally, numerical simulations are carried out using the effective numerical scheme with an extended Mittag‐Leffler function to demonstrate the accuracy of the suggested approaches.
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