A Class of S1S2EIQR Mpox Model with an Individual Awareness

WU Wen-zhe, ZHANG Tai-lei

doi:10.13371/j.cnki.chin.q.j.m.2026.01.006

Chinese Quarterly Journal of Mathematics >

2026 , Vol. 41 >Issue 1: 68 - 81

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2026.01.006

A Class of S₁S₂EIQR Mpox Model with an Individual Awareness

Expand

School of Science, Chang’an University, Xi’an 710064, China

WU Wen-zhe (2001-), male, native of Jiaozuo, Henan, graduate student of Chang’an University, engages in differential equation and its application; ZHANG Tai-lei (1980-), male, native of Songzi County, Hubei, professor of Chang’an University, engages in differential equation and its application.

ZHANG Tai-lei (1980-), male, native of Songzi County, Hubei, professor of Chang’an University, engages in differential equation and its application.

Received date: 2025-06-05

Online published: 2026-03-30

Supported by

National Science Basic Research Plan in Shaanxi Province of China (Grant No. 2025JC-YBMS-004).

Fold

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

Cite this article

WU Wen-zhe, ZHANG Tai-lei . A Class of S₁S₂EIQR Mpox Model with an Individual Awareness[J]. Chinese Quarterly Journal of Mathematics, 2026 , 41(1) : 68 -81 . DOI: 10.13371/j.cnki.chin.q.j.m.2026.01.006

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article