Mathematical modeling and analysis of a monkeypox model

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 E 0 when R 0 <1. When R 0 >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 R 0 . Finally, we perform numerical simulations to confirm the theoretical analysis using Matlab.