Year: 2023
Author: Xinghao Wang, Liang Zhang, Jiajun Guo
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 1 : pp. 24–53
Abstract
We investigate a susceptible-exposed-infectious-recovered (SEIR) epidemic model with asymptomatic infective individuals. First, we formulate a deterministic model, and give the basic reproduction number $R_0.$ We show that the disease is persistent, if $R_0 > 1,$ and it is extinct, if $R_0 < 1.$ Then, we formulate a stochastic version of the deterministic model. By constructing suitable stochastic Lyapunov functions, we establish sufficient criteria for the extinction and the existence of ergodic stationary distribution to the model. As a case, we study the COVID-19 transmission in Wuhan, China, and perform some sensitivity analysis. Our numerical simulations are carried out to illustrate the analytic results.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.24
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 1 : pp. 24–53
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: Asymptomatic infective individual Extinction Persistence Stationary distribution.