A study of rumors spreading model with on scale-free network
Authors
Tao Li, Qian Zhang
Corresponding Author
Tao Li
Available Online November 2015.
- DOI
- 10.2991/icmmita-15.2015.329How to use a DOI?
- Keywords
- Scale-Free network; rumors; time delay nonlinear infectivity; basic reproductive number.
- Abstract
In this paper, a novel SIRS model of rumors on scale-free network with time delay is proposed. The basic reproductive number for the model is presented. We prove that the rumors will die out when the basic reproductive number is less than the unity. Whereas the permanence of the rumors is shown if the basic reproductive number exceeds the unity. Numerical simulations confirmed the analytical results.
- Copyright
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Tao Li AU - Qian Zhang PY - 2015/11 DA - 2015/11 TI - A study of rumors spreading model with on scale-free network BT - Proceedings of the 2015 3rd International Conference on Machinery, Materials and Information Technology Applications PB - Atlantis Press SP - 1766 EP - 1769 SN - 2352-538X UR - https://doi.org/10.2991/icmmita-15.2015.329 DO - 10.2991/icmmita-15.2015.329 ID - Li2015/11 ER -