Pulse quarantine strategy of internet worm propagation: Modeling and analysis

Yao, Yu; Guo, Lei; Guo, Hao; Yu, Ge; Gao, Fuxiang; Tong, Xiaojun

doi:10.1016/j.compeleceng.2011.07.009

Cited by 47 publications

(32 citation statements)

References 19 publications

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“…Considering the fact that the intrusion detection system (IDS) may lead to time delay, Yao et al [13][14][15] obtained the threshold of time delay when Hopf bifurcation occurred. Pulse quarantine strategy [16] also has been taken to constrain the propagation of worms in network. Due to the effect of different topologies, some experts presented different models [9,17] to analyse the results.…”

Section: Introductionmentioning

confidence: 99%

An Epidemic Model of Computer Worms with Time Delay and Variable Infection Rate

Yao

Yang

et al. 2018

Security and Communication Networks

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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 0 of Hopf bifurcation is obtained. The worm propagation system is stable if time delay is less than 0 . When time delay is over 0 , 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.

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Section: Introductionmentioning

confidence: 99%

An Epidemic Model of Computer Worms with Time Delay and Variable Infection Rate

Yao

Yang

et al. 2018

Security and Communication Networks

Self Cite

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“…First, the quadratic cost functions may be generalized to some generic functions. Second, delays [43][44][45], pulses [46,47], and random fluctuations [15] may be incorporated to controlled node-level models. Last, but not least, it is worthy to carry out research on the impact of the network topology [9,25,48,49] on the dynamic countermeasure strategy.…”

Section: Discussionmentioning

confidence: 99%

Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate

Zhang

Gan

2017

Discrete Dynamics in Nature and Society

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This paper mainly addresses the issue of how to effectively inhibit viral spread by means of dynamic countermeasure. To this end, a controlled node-level model with nonlinear infection and countermeasure rates is established. On this basis, an optimal control problem capturing the dynamic countermeasure is proposed and analyzed. Specifically, the existence of an optimal dynamic countermeasure scheme and the corresponding optimality system are shown theoretically. Finally, some numerical examples are given to illustrate the main results, from which it is found that (1) the proposed optimal strategy can achieve a low level of infections at a low cost and (2) adjusting nonlinear infection and countermeasure rates and tradeoff factor can be conductive to the containment of virus propagation with less cost.

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“…They proposed an SEIRQ model for the transmission of virtual threats in a network. Pursing a different perspective to isolation of infected/infective hosts [34] proposed the pulse quarantine strategy (adjudged as better than the constant quarantine strategy). In a conscious bid to ensure security in sensor networks [6] extended the classic model to include the Vaccinated compartment by formulating the SEIRQV mathematical model.…”

Section: Related Workmentioning

confidence: 99%

Pre-quarantine Approach for Defense against Propagation of Malicious Objects in Networks

Nwokoye¹,

Ozoegwu²,

Ejiofor³

2017

IJCNIS

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Abstract-This paper revisits malicious object propagation in networks using epidemic theory in such a manner that it proposes the (Pre-quarantining) of nodes in networks. This is a concept that is known by experience to be a standard disease control procedure that involves screening and quarantining of immigrants to a population. As preliminary investigation we propose the Q-SEIRS model and the more advanced Q-SEIRS-V model for malicious objects' spread in networks. This Pre-quarantine concept addresses and implements the "assume guilty till proven innocent" slogan of the cyber world by providing a mechanism for pre-screening, isolation and treatment for incoming infected nodes. The treated nodes from the pre-quarantine compartment are sent to the recovered compartment while the free nodes join the network population. The paper also derived the reproduction number, equilibria, as well as local stability of the proposed model. Numerical methods are employed to solve the system of equations and MATLAB is used to simulate the system so as to visualize the dynamical behavior of the models. It is seen that pre-screening/prequarantining improves the recovery rate in relative terms.

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Pulse quarantine strategy of internet worm propagation: Modeling and analysis

Cited by 47 publications

References 19 publications

An Epidemic Model of Computer Worms with Time Delay and Variable Infection Rate

An Epidemic Model of Computer Worms with Time Delay and Variable Infection Rate

Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate

Pre-quarantine Approach for Defense against Propagation of Malicious Objects in Networks

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