Work

Analysis of global stability of an epidemic model with asymptomatic infected persons

Year: 2025

Type: article

Abstract: Asymptomatic infection is an important feature that distinguishes COVID-19 from known SARS viral diseases. In this paper, we propose a new mathematical model for virus transmission with asymptomatic infected persons, which can be used for COVID-19. We study the model by defining the basic reproduction number ( $R_{0}$ ), showing the nonnegativity and boundedness of the solution, and constructing proper Lyapunov function, the global stability of the disease-free equilibrium and the endemic equilibrium are obtained. Numerical simulation of the model shows that the threshold of the basic reproduction number can determine the global asymptotic stability of the equilibria. Moreover, by simulating and analyzing the model, we obtain that the number of people diagnosed for COVID-19 will increase, and the number of hospital beds should be increased to meet the large number of patients with the implementation of the screening strategy. Therefore, to control the spread of the epidemic, increase in the detection of asymptomatic infected persons is very important.

Source: Advances in Continuous and Discrete Models

DOI: 10.1186/s13662-025-03945-5

Authors: Zhigang Liu, Tiejun Zhou

Institutions: Hengyang Normal University, Hunan Agricultural University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: hybrid

Estimated APC paid: $1,890