Mathematical modeling and analysis of a monkeypox model

Imane Smouni, Abdelbar El Mansouri, Bouchaib Khajji, Abderrahim Labzai, Mohamed Belam, Youssef Tidli

Abstract


In this work, we present a continuous mathematical model, SEIQR, for monkeypox infection. We study the dynamical behaviour of this model and discuss the basic properties of the system. By constructing Lyapunov functions and using Routh-Hurwitz criteria, the stability analysis of the model confirms that the system is globally, as well as locally, asymptotically stable at the free equilibrium E0 when R0<1. When R0>1, the endemic equilibrium E exists, and the system is globally, as well as locally, asymptotically stable at the endemic equilibrium E. Additionally, we conduct a sensitivity analysis of the model parameters to identify the parameters that have a significant impact on the reproduction number R0. Finally, we perform numerical simulations to confirm the theoretical analysis using Matlab.

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Published: 2023-08-21

How to Cite this Article:

Imane Smouni, Abdelbar El Mansouri, Bouchaib Khajji, Abderrahim Labzai, Mohamed Belam, Youssef Tidli, Mathematical modeling and analysis of a monkeypox model, Commun. Math. Biol. Neurosci., 2023 (2023), Article ID 85

Copyright © 2023 Imane Smouni, Abdelbar El Mansouri, Bouchaib Khajji, Abderrahim Labzai, Mohamed Belam, Youssef Tidli. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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