Year: 2021
Author: Yanan Sun, Yakui Xue, Boli Xie, Song Sun
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 1 : pp. 35–51
Abstract
In this paper, an SIS model incorporating the effects of awareness spreading on epidemic is analyzed. Four kinds of equilibria of the model are given, and a new method is used to prove the stability of the equilibria. The threshold of awareness is $R_{1}^{a}$, which measures whether awareness spreads. When awareness does not spread, the basic reproduction number of disease is $R_{1}^{d}$, it is $R_{2}^{d}$ when awareness spreads. The relationship among the three kinds of thresholds is discussed in details. Specially, the effects of various awareness parameters on epidemic are analyzed. Our theoretical results suggest that raising awareness can effectively reduce the basic reproduction number of disease and reduce the spread of disease. Furthermore, numerical simulations are performed to illustrate our results.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.35
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 1 : pp. 35–51
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Awareness spreading Epidemic model Cooperative system Stability.