关键词: Mpox, Consciousness influence, Stability, Numerical simulations

Abstract: According to the characteristics of mpox transmission, we establish a class of S₁S₂EIQR mpox infectious disease models with individual consciousness influence, and obtain the basic reproduction number of the model by using the next generation matrix method. The existence of the endemic equilibrium is demonstrated, and the global asymptotic stability of the disease-free equilibrium is obtained when R₀ ≤1. When R₀ >1, the disease-free equilibrium is unstable and the endemic equilibrium is globally asymptotically stable. The data of mpox cases from Beijing are collected to simulating the epidemic trends of mpox in the next few months. The results show that increasing the isolation ratio of infected patients, increasing the cure rate of infected patients, and increasing the rate of unconscious to conscious transfer could reduce the cumulative number of mpox infections.

Key words: Mpox, Consciousness influence, Stability, Numerical simulations