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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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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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. |
format | Article |
id | doaj-art-8800acdce0894ef6bb3b50e43a963176 |
institution | Kabale University |
issn | 1026-0226 1607-887X |
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 |