Mathematical modeling and analysis of a monkeypox model

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.