Abstract

The dynamical properties of a stochastic susceptible-infected epidemic model with Logistic growth are investigated in this paper. We show that the stochastic model admits a nonnegative solution by using the Lyapunov function method. We then obtain that the infected individuals are persistent under some simple conditions. As a consequence, a simple sufficient condition that guarantees the extinction of the infected individuals is presented with a couple of illustrative examples.

Details

Title
The persistence and extinction of a stochastic SIS epidemic model with Logistic growth
Author
Liu, Jiamin 1 ; Chen, Lijuan 1 ; Wei, Fengying 1   VIAFID ORCID Logo 

1  College of Mathematics and Computer Science, Fuzhou University, Fuzhou, P.R. China 
Pages
1-10
Publication year
2018
Publication date
Feb 2018
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-018-1528-8
ProQuest document ID
2122412399
Copyright
Advances in Difference Equations is a copyright of Springer, (2018). All Rights Reserved., © 2018. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.