A survey and trends on Internet worms

Qing, Sihan; Wen, Wang

doi:10.1016/j.cose.2004.10.001

Cited by 56 publications

(36 citation statements)

References 6 publications

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“…In order to study the spread of malware among mobile phones, the SIS model [2] is proposed by some researchers. Qing and Wen introduced the Kermack-McKendrick model, which is also called SIR model [3]. Then many mathematical models [4][5][6][7][8][9] inspired by the SIR model have been employed to constrain the propagation of Internet worms.…”

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

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“…In recent years, there are studies on the worm-anti-worm (WAW) model [8], such as the propagation process of malicious worms and benign worms in the network environment. And some models based on WAW various amendments are proposed to adapt to changing network environment.…”

Section: Mobile Worm Propagation Modelmentioning

confidence: 99%

Spread and Control of Mobile Benign Worm Based on Two-Stage Repairing Mechanism

Wang

Chen

et al. 2014

Journal of Applied Mathematics

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Both in traditional social network and in mobile network environment, the worm is a serious threat, and this threat is growing all the time. Mobile smartphones generally promote the development of mobile network. The traditional antivirus technologies have become powerless when facing mobile networks. The development of benign worms, especially active benign worms and passive benign worms, has become a new network security measure. In this paper, we focused on the spread of worm in mobile environment and proposed the benign worm control and repair mechanism. The control process of mobile benign worms is divided into two stages: the first stage is rapid repair control, which uses active benign worm to deal with malicious worm in the mobile network; when the network is relatively stable, it enters the second stage of postrepair and uses passive mode to optimize the environment for the purpose of controlling the mobile network. Considering whether the existence of benign worm, we simplified the model and analyzed the four situations. Finally, we use simulation to verify the model. This control mechanism for benign worm propagation is of guiding significance to control the network security.

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“…All authors read and approved the final manuscript. 1 Network Center, Hubei University of Medicine, Shiyan, 442000, P.R. China.…”

Section: Competing Interestsmentioning

confidence: 99%

Hopf bifurcation of an SEIRS epidemic model with delays and vertical transmission in the network

Wang

Chai

2016

Adv Differ Equ

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An SEIRS worm propagation model with two delays and vertical transmission in the network is investigated. It is proved that the positive equilibrium is locally asymptotically stable and the Hopf bifurcation can occur when the certain conditions are satisfied by regarding different combination of the two delays as bifurcation parameter. Then the properties of the Hopf bifurcation, such as direction and stability, are studied by using the normal form theory and the center manifold theorem. Finally, some numerical simulations are presented to verify the obtained results and to demonstrate the dynamics of the model.

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A survey and trends on Internet worms

Cited by 56 publications

References 6 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

Spread and Control of Mobile Benign Worm Based on Two-Stage Repairing Mechanism

Hopf bifurcation of an SEIRS epidemic model with delays and vertical transmission in the network

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