Stability analysis of a SEIQV epidemic model for rapid spreading worms

Wang, Fangwei; Zhang, Yun-Kai; Wang, Chang-Guang; Ma, Jianfeng; Moon, SangJae

doi:10.1016/j.cose.2009.10.002

Cited by 101 publications

(60 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Toutonji [32] established worm propagation models on the basis of constant quarantine strategy (using a benevolent passive worm); though the stability analyses of their systems were not taken into account in their works. To abate the spread of internet worms [33] conceived a combination of dynamic quarantine and vaccination strategy to obtain the reproductive ratio and to study the significance of several parameters. The effect of isolating a virusinfected file and the use of anti-malicious software was considered by [35].…”

Section: Related Workmentioning

confidence: 99%

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

Nwokoye¹,

Ozoegwu²,

Ejiofor³

2017

IJCNIS

View full text Add to dashboard Cite

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.

show abstract

Section: Related Workmentioning

confidence: 99%

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

Nwokoye¹,

Ozoegwu²,

Ejiofor³

2017

IJCNIS

View full text Add to dashboard Cite

show abstract

“…Chen and Wei (2009) offer improvements of classical susceptible-infected-susceptible and susceptible-infected-recovered models with quarantine strategy, thresholds and equilibriums to the existence of worm epidemics. More recently, Wang et al (2010) propose an epidemic model combining both vaccinations and quarantine methods to decrease the number of infected hosts and reduce the speed of worm propagation.…”

Section: Previous Researchmentioning

confidence: 99%

Using Simulation to Investigate Virus Propagation in Computer Networks

Asllani¹,

Ali

2012

NCT

View full text Add to dashboard Cite

Making the best decisions to respond to a virus threat can be critical in thwarting a quick spread and minimizing negative impacts of an attack. This paper uses simulation to compare two main prevention strategies: patching and quarantine. These strategies are borrowed from epidemiological models and are currently employed to prevent and control the spread of computer viruses throughout networks. Simulation is a powerful decision making tool which can be used to mimic the complex behavior of a spreading virus while testing a range of alternative parameters for different attack scenarios. The proposed simulation model suggests that patching is a better protection strategy than quarantine. A carefully selected patching strategy can be used to enforce the herd immunity effect and place the spread of a virus in an endemic state in the shortest possible amount of time.

show abstract

“…In order to understand the spread law of computer viruses over the Internet and in view of the high similarity between computer viruses and biological viruses, many computer virus propagation models have been developed and analyzed. For example, see [4][5][6][7][8][9][10][11][12][13] and the cited references therein.…”

Section: Introductionmentioning

confidence: 99%

Delay Induced Hopf Bifurcation of an Epidemic Model with Graded Infection Rates for Internet Worms

Zhao

2017

Mathematical Problems in Engineering

View full text Add to dashboard Cite

A delayed SEIQRS worm propagation model with different infection rates for the exposed computers and the infectious computers is investigated in this paper. The results are given in terms of the local stability and Hopf bifurcation. Sufficient conditions for the local stability and the existence of Hopf bifurcation are obtained by using eigenvalue method and choosing the delay as the bifurcation parameter. In particular, the direction and the stability of the Hopf bifurcation are investigated by means of the normal form theory and center manifold theorem. Finally, a numerical example is also presented to support the obtained theoretical results.

show abstract

Stability analysis of a SEIQV epidemic model for rapid spreading worms

Cited by 101 publications

References 22 publications

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

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

Using Simulation to Investigate Virus Propagation in Computer Networks

Delay Induced Hopf Bifurcation of an Epidemic Model with Graded Infection Rates for Internet Worms

Contact Info

Product

Resources

About