A study of rumors spreading model with on scale-free network

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/).

Download article (PDF)

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  -