Worm Propagation

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Fuxiang Gao - One of the best experts on this subject based on the ideXlab platform.

  • modeling and bifurcation research of a Worm Propagation dynamical system with time delay
    2014
    Co-Authors: Yu Yao, Wenlong Xiang, Wei Yang, Zhao Zhang, Fuxiang Gao
    Abstract:

    Both vaccination and quarantine strategy are adopted to control the Internet Worm Propagation. By considering the interaction infection between computers and external removable devices, a Worm Propagation dynamical system with time delay under quarantine strategy is constructed based on anomaly intrusion detection system (IDS). By regarding the time delay caused by time window of anomaly IDS as the bifurcation parameter, local asymptotic stability at the positive equilibrium and local Hopf bifurcation are discussed. Through theoretical analysis, a threshold is derived. When time delay is less than , the Worm Propagation is stable and easy to predict; otherwise, Hopf bifurcation occurs so that the system is out of control and the containment strategy does not work effectively. Numerical analysis and discrete-time simulation experiments are given to illustrate the correctness of theoretical analysis.

  • Analysis of a Delayed Internet Worm Propagation Model with Impulsive Quarantine Strategy
    2014
    Co-Authors: Yu Yao, Wenlong Xiang, Wei Yang, Xiaodong Feng, Fuxiang Gao
    Abstract:

    Internet Worms exploiting zero-day vulnerabilities have drawn significant attention owing to their enormous threats to Internet in the real world. To begin with, a Worm Propagation model with time delay in vaccination is formulated. Through theoretical analysis, it is proved that the Worm Propagation system is stable when the time delay is less than the threshold and Hopf bifurcation appears when time delay is equal to or greater than . Then, a Worm Propagation model with constant quarantine strategy is proposed. Through quantitative analysis, it is found that constant quarantine strategy has some inhibition effect but does not eliminate bifurcation. Considering all the above, we put forward impulsive quarantine strategy to eliminate Worms. Theoretical results imply that the novel proposed strategy can eliminate bifurcation and control the stability of Worm Propagation. Finally, simulation results match numerical experiments well, which fully supports our analysis.

  • modeling and analysis of bifurcation in a delayed Worm Propagation model
    2013
    Co-Authors: Yu Yao, Wenlong Xiang, Nan Zhang, Fuxiang Gao
    Abstract:

    A delayed Worm Propagation model with birth and death rates is formulated. The stability of the positive equilibrium is studied. Through theoretical analysis, a critical value of Hopf bifurcation is derived. The Worm Propagation system is locally asymptotically stable when time delay is less than . However, Hopf bifurcation appears when time delay passes the threshold , which means that the Worm Propagation system is unstable and out of control. Consequently, time delay should be adjusted to be less than to ensure the stability of the system stable and better prediction of the scale and speed of Internet Worm spreading. Finally, numerical and simulation experiments are presented to simulate the system, which fully support our analysis.

  • hopf bifurcation in an internet Worm Propagation model with time delay in quarantine
    2013
    Co-Authors: Yu Yao, Fuxiang Gao, Hao Guo, Xiaowu Xie, Xiaojun Tong
    Abstract:

    Abstract Internet Worm attacks reduce network security and cause economic losses. The use of a quarantine strategy is prominent in defending against Worms, and it has been applied to various Worm Propagation models. Although theoretical analysis suggests that Worms must get eliminated under quarantine, such a result does not appear in a real network. The time delay considered in this paper, which is caused by the time window of the intrusion detection system (IDS) that exists in the Propagation system, is one of the main reasons for this. A Worm Propagation model with time delay under quarantine is constructed for practical application. The stability of the positive equilibrium and local Hopf bifurcation are discussed. By analysis, a critical value τ 0 of the Hopf bifurcation is derived. When the time delay is less than τ 0 , the Worm Propagation system is stable and easy to predict; when it is equal to or greater than τ 0 , Hopf bifurcation appears. Since it is easy to control and eliminate Worms under a simple and stable Worm Propagation system without Hopf bifurcation, the time window of the IDS must be adjusted so that the time delay is less than τ 0 , which ensures that the Worm Propagation system remains stable and that Worms can be eliminated with certain containment strategy. Numerical results from our experiment support our theoretical analysis.

  • pulse quarantine strategy of internet Worm Propagation modeling and analysis
    2012
    Co-Authors: Yu Yao, Fuxiang Gao, Hao Guo, Lei Guo, Xiaojun Tong
    Abstract:

    Worms can spread throughout the Internet very quickly and are a great security threat. Constant quarantine strategy is a defensive measure against Worms, but its reliability in current imperfect intrusion detection systems is poor. A pulse quarantine strategy is thus proposed in the current study. The pulse quarantine strategy adopts a hybrid intrusion detection system with both misuse and anomaly detection. Through analysis of corresponding Worm Propagation models, its stability condition is obtained: when the basic reproduction number is less than one, the model is stable at its infection-free periodic equilibrium point where Worms get eliminated. Numerical and simulation experiments show that constant quarantine strategy is inefficient because of its high demand on the patching rate at ''birth'', whereas the pulse quarantine strategy can lead to Worm elimination with a relatively low value. As patching almost all hosts in the actual network is difficult, the pulse quarantine strategy is more effective in Worm elimination.

Yu Yao - One of the best experts on this subject based on the ideXlab platform.

  • An Epidemic Model of Computer Worms with Time Delay and Variable Infection Rate
    2018
    Co-Authors: Yu Yao, Wei Yang, Ying Wang, Chuan Sheng
    Abstract:

    With rapid development of Internet, network security issues become increasingly serious. Temporary patches have been put on the infectious hosts, which may lose efficacy on occasions. This leads to a time delay when vaccinated hosts change to susceptible hosts. On the other hand, the Worm infection is usually a nonlinear process. Considering the actual situation, a variable infection rate is introduced to describe the spread process of Worms. According to above aspects, we propose a time-delayed Worm Propagation model with variable infection rate. Then the existence condition and the stability of the positive equilibrium are derived. Due to the existence of time delay, the Worm Propagation system may be unstable and out of control. Moreover, the threshold of Hopf bifurcation is obtained. The Worm Propagation system is stable if time delay is less than . When time delay is over , the system will be unstable. In addition, numerical experiments have been performed, which can match the conclusions we deduce. The numerical experiments also show that there exists a threshold in the parameter , which implies that we should choose appropriate infection rate to constrain Worm prevalence. Finally, simulation experiments are carried out to prove the validity of our conclusions.

  • modeling and bifurcation research of a Worm Propagation dynamical system with time delay
    2014
    Co-Authors: Yu Yao, Wenlong Xiang, Wei Yang, Zhao Zhang, Fuxiang Gao
    Abstract:

    Both vaccination and quarantine strategy are adopted to control the Internet Worm Propagation. By considering the interaction infection between computers and external removable devices, a Worm Propagation dynamical system with time delay under quarantine strategy is constructed based on anomaly intrusion detection system (IDS). By regarding the time delay caused by time window of anomaly IDS as the bifurcation parameter, local asymptotic stability at the positive equilibrium and local Hopf bifurcation are discussed. Through theoretical analysis, a threshold is derived. When time delay is less than , the Worm Propagation is stable and easy to predict; otherwise, Hopf bifurcation occurs so that the system is out of control and the containment strategy does not work effectively. Numerical analysis and discrete-time simulation experiments are given to illustrate the correctness of theoretical analysis.

  • Analysis of a Delayed Internet Worm Propagation Model with Impulsive Quarantine Strategy
    2014
    Co-Authors: Yu Yao, Wenlong Xiang, Wei Yang, Xiaodong Feng, Fuxiang Gao
    Abstract:

    Internet Worms exploiting zero-day vulnerabilities have drawn significant attention owing to their enormous threats to Internet in the real world. To begin with, a Worm Propagation model with time delay in vaccination is formulated. Through theoretical analysis, it is proved that the Worm Propagation system is stable when the time delay is less than the threshold and Hopf bifurcation appears when time delay is equal to or greater than . Then, a Worm Propagation model with constant quarantine strategy is proposed. Through quantitative analysis, it is found that constant quarantine strategy has some inhibition effect but does not eliminate bifurcation. Considering all the above, we put forward impulsive quarantine strategy to eliminate Worms. Theoretical results imply that the novel proposed strategy can eliminate bifurcation and control the stability of Worm Propagation. Finally, simulation results match numerical experiments well, which fully supports our analysis.

  • modeling and analysis of bifurcation in a delayed Worm Propagation model
    2013
    Co-Authors: Yu Yao, Wenlong Xiang, Nan Zhang, Fuxiang Gao
    Abstract:

    A delayed Worm Propagation model with birth and death rates is formulated. The stability of the positive equilibrium is studied. Through theoretical analysis, a critical value of Hopf bifurcation is derived. The Worm Propagation system is locally asymptotically stable when time delay is less than . However, Hopf bifurcation appears when time delay passes the threshold , which means that the Worm Propagation system is unstable and out of control. Consequently, time delay should be adjusted to be less than to ensure the stability of the system stable and better prediction of the scale and speed of Internet Worm spreading. Finally, numerical and simulation experiments are presented to simulate the system, which fully support our analysis.

  • hopf bifurcation in an internet Worm Propagation model with time delay in quarantine
    2013
    Co-Authors: Yu Yao, Fuxiang Gao, Hao Guo, Xiaowu Xie, Xiaojun Tong
    Abstract:

    Abstract Internet Worm attacks reduce network security and cause economic losses. The use of a quarantine strategy is prominent in defending against Worms, and it has been applied to various Worm Propagation models. Although theoretical analysis suggests that Worms must get eliminated under quarantine, such a result does not appear in a real network. The time delay considered in this paper, which is caused by the time window of the intrusion detection system (IDS) that exists in the Propagation system, is one of the main reasons for this. A Worm Propagation model with time delay under quarantine is constructed for practical application. The stability of the positive equilibrium and local Hopf bifurcation are discussed. By analysis, a critical value τ 0 of the Hopf bifurcation is derived. When the time delay is less than τ 0 , the Worm Propagation system is stable and easy to predict; when it is equal to or greater than τ 0 , Hopf bifurcation appears. Since it is easy to control and eliminate Worms under a simple and stable Worm Propagation system without Hopf bifurcation, the time window of the IDS must be adjusted so that the time delay is less than τ 0 , which ensures that the Worm Propagation system remains stable and that Worms can be eliminated with certain containment strategy. Numerical results from our experiment support our theoretical analysis.

Wang Yuewu - One of the best experts on this subject based on the ideXlab platform.

  • research on sem based internet Worm Propagation models
    2010
    Co-Authors: Wang Yuewu
    Abstract:

    Internet Worms have been,and continue to be,one of the most important threats to the Internet community.Accurately modeling the Worm Propagation is a most commonly used method to investigate its inherent characteristics.Most of the existing Worm Propagation models are based on the Simple Epidemic Model(SEM) due to the similarity of Propagation characteristics between the Internet Worm on Internet and the epidemic in crowd.In this paper,we first review the Simple Epidemic Model,and then analyze the Kermack-Mackendrick model,the two-factor model and the bandwidth-limited Worm Propagation model respectively,which are all proposed based on the SEM,and highlight the background and the distinguished properties of each models.Finally,the relationship between these models are conclude,which provides a guideline for construction of upcoming Worm Propagation models.

Chaosheng Feng - One of the best experts on this subject based on the ideXlab platform.

  • Propagation Modeling of Passive Worms in P2P Networks
    2020
    Co-Authors: Chaosheng Feng, Zhiguang Qin, Laurence Cuthbet, Laurissa Tokarchuk
    Abstract:

    Abstract-Recent years, researchers have recognized the damage resulting from P2P Worms, and some works on P2P Worms have been done. However, compared with the study of active Worm Propagation, passive Worm Propagation has been less highlighted. Passive Worms propagate slowly in Internet, but P2P system can be a potential vehicle to fast the Propagation of passive Worms. In this paper, we address the issue by analyzing the passive Worm Propagation models in P2P networks and passive Worm Propagation is modeled in the mean-field method. The fact that the theory values are in consistence with the simulation values shows that these models proposed are valid and can be used to analyze and predict P2P Worm Propagation patterns

  • modeling and analysis of passive Worm Propagation in the p2p file sharing network
    2015
    Co-Authors: Chaosheng Feng, Jun Yang, Zhiguang Qin, Ding Yuan, Hongrong Cheng
    Abstract:

    Abstract A number of Worms, named P2P (peer-to-peer) passive Worms, have recently surfaced, which propagate in P2P file-sharing networks and have posed heavy threats to these networks. In contrast to the majority of Internet Worms, it is by exploiting users’ legitimate activities instead of vulnerabilities of networks in which P2P passive Worms propagate. This feature evidently slows down their Propagation, which results in them not attracting an adequate amount of attention in literature. Meanwhile, this feature visibly increases the difficulty of detecting them, which makes it very possible for them to become epidemic. In this paper, we propose an analytical model for P2P passive Worm Propagation by adopting epidemiological approaches so as to identify their behaviors and predict the tendency of their Propagation accurately. Compared with a few existing models, dynamic characteristics of P2P networks are taken into account. Based on this proposed model, the sufficient condition for the global stability of the Worm free equilibrium is derived by applying epidemiological theories. Large scale simulation experiments have validated both the proposed model and the condition.

Tadashi Dohi - One of the best experts on this subject based on the ideXlab platform.

  • markovian modeling and analysis of internet Worm Propagation
    2005
    Co-Authors: Hiroyuki Okamura, H Kobayashi, Tadashi Dohi
    Abstract:

    Propagation of Internet Worms is a serious problem in our highly information oriented society. In this paper, we propose a stochastic model for Internet Worm Propagation to evaluate its dependability measures quantitatively. More precisely, the deterministic kill-signal model is reformulated based on a continuous-time Markov chain. We define some dependability measures and derive the recursive computation algorithms to assess them. In numerical experiments, we investigate the behavior of actual Internet Worms with real infection data and characterize their Propagation