Stability Analysis of a Worm Propagation Model with Time Delay and Quarantine

DOI

10.2991/ic3me-15.2015.201How to use a DOI?

Keywords

Worm, Propagation Model, Time Delay, Quarantine, Stability

Abstract

There has a constant barrage of worms over the internet in recent years. In order to effectively prevent worm spreading, researchers are trying to understand the behavior of the worm propagation with the aid of epidemiological models. In this paper a worm propagation model with time delay and quarantine strategy is proposed and discussed. The spreading dynamics of the worms is analyzed, the spreading critical threshold and equilibriums are derived. The global stability of equilibriums is proved and numerical simulations are presented to 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/).

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TY  - CONF
AU  - Tao Li
AU  - Yuanmei Wang
AU  - Xiongding Liu
AU  - Xisheng Zhan
PY  - 2015/08
DA  - 2015/08
TI  - Stability Analysis of a Worm Propagation Model with Time Delay and Quarantine
BT  - Proceedings of the 3rd International Conference on Material, Mechanical and Manufacturing Engineering
PB  - Atlantis Press
SP  - 1041
EP  - 1044
SN  - 2352-5401
UR  - https://doi.org/10.2991/ic3me-15.2015.201
DO  - 10.2991/ic3me-15.2015.201
ID  - Li2015/08
ER  -