Adaptive Human Behavior in a Two-Worm Interaction Model

The complex interactions among internet worms have great impact on the dynamics of worms. To contain the propagation of worms, it is necessary to characterize these interactions. Therefore, a two-worm interaction model is presented in this paper. Different from previous researches, we have considere...

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Main Authors: Li-Peng Song, Xie Han, Dong-Ming Liu, Zhen Jin
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/828246
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author Li-Peng Song
Xie Han
Dong-Ming Liu
Zhen Jin
author_facet Li-Peng Song
Xie Han
Dong-Ming Liu
Zhen Jin
author_sort Li-Peng Song
collection DOAJ
description The complex interactions among internet worms have great impact on the dynamics of worms. To contain the propagation of worms, it is necessary to characterize these interactions. Therefore, a two-worm interaction model is presented in this paper. Different from previous researches, we have considered the influence of adaptive human reaction stirred by one cooperative worm on the other worm in the model. The model’s equilibria and their stability conditions are obtained mathematically and verified by simulations. Results indicate that considering adaptive human behavior significantly changes the prospective propagation course of worms and that this consideration has implications for designing counterworm methods.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-8800acdce0894ef6bb3b50e43a9631762025-02-03T07:25:09ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/828246828246Adaptive Human Behavior in a Two-Worm Interaction ModelLi-Peng Song0Xie Han1Dong-Ming Liu2Zhen Jin3Department of Computer Science and Technology, North University of China, Shanxi, Taiyuan 030051, ChinaDepartment of Computer Science and Technology, North University of China, Shanxi, Taiyuan 030051, ChinaDepartment of Computer Science and Technology, North University of China, Shanxi, Taiyuan 030051, ChinaDepartment of Mathematics, North University of China, Shanxi, Taiyuan 030051, ChinaThe complex interactions among internet worms have great impact on the dynamics of worms. To contain the propagation of worms, it is necessary to characterize these interactions. Therefore, a two-worm interaction model is presented in this paper. Different from previous researches, we have considered the influence of adaptive human reaction stirred by one cooperative worm on the other worm in the model. The model’s equilibria and their stability conditions are obtained mathematically and verified by simulations. Results indicate that considering adaptive human behavior significantly changes the prospective propagation course of worms and that this consideration has implications for designing counterworm methods.http://dx.doi.org/10.1155/2012/828246
spellingShingle Li-Peng Song
Xie Han
Dong-Ming Liu
Zhen Jin
Adaptive Human Behavior in a Two-Worm Interaction Model
Discrete Dynamics in Nature and Society
title Adaptive Human Behavior in a Two-Worm Interaction Model
title_full Adaptive Human Behavior in a Two-Worm Interaction Model
title_fullStr Adaptive Human Behavior in a Two-Worm Interaction Model
title_full_unstemmed Adaptive Human Behavior in a Two-Worm Interaction Model
title_short Adaptive Human Behavior in a Two-Worm Interaction Model
title_sort adaptive human behavior in a two worm interaction model
url http://dx.doi.org/10.1155/2012/828246
work_keys_str_mv AT lipengsong adaptivehumanbehaviorinatwoworminteractionmodel
AT xiehan adaptivehumanbehaviorinatwoworminteractionmodel
AT dongmingliu adaptivehumanbehaviorinatwoworminteractionmodel
AT zhenjin adaptivehumanbehaviorinatwoworminteractionmodel