Year: 2023
Author: Yubo Liu, Jianli Li, Daipeng Kuang
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 1 : pp. 73–94
Abstract
In this paper, a stochastic SIR epidemic model with saturated treatment function, non-monotone incidence rate and logistic growth is studied. First, we prove that the stochastic model has a unique global positive solution. Next, by constructing a suitable Lyapunov function, we can show that there exists an ergodic stationary distribution in the random SIR model. Then, we show that a sufficient condition can make the disease tend to extinction. Finally, some numerical simulations are used to prove our analytical result.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.73
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 1 : pp. 73–94
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Logistic growth Saturated treatment Stationary distribution and ergodicity Non-monotone incidence Extinction.