Design and analysis of SEIQR worm propagation model in mobile internet

Xiao, Xi; Fu, Peng; Dou, Changsheng; Li, Qing; Hu, Guangwu; Xia, Shu-Tao

doi:10.1016/j.cnsns.2016.07.012

Cited by 46 publications

(20 citation statements)

References 16 publications

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“…In the past decades, some mathematical models describing malicious codes propagation are proposed to study viruses' behavior. For example, the classic epidemic models [5][6][7][8][9], the models with graded infection rate [10][11][12][13][14][15][16][17][18], the stochastic models [19][20][21][22][23] and some other models [2,[24][25][26].…”

Section: Introductionmentioning

confidence: 99%

A Delayed Epidemic Model for Propagation of Malicious Codes in Wireless Sensor Network

2019

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In this paper, we investigate a delayed SEIQRS-V epidemic model for propagation of malicious codes in a wireless sensor network. The communication radius and distributed density of nodes is considered in the proposed model. With this model, first we find a feasible region which is invariant and where the solutions of our model are positive. To show that the system is locally asymptotically stable, a Lyapunov function is constructed. After that, sufficient conditions for local stability and existence of Hopf bifurcation are derived by analyzing the distribution of the roots of the corresponding characteristic equation. Finally, numerical simulations are presented to verify the obtained theoretical results and to analyze the effects of some parameters on the dynamical behavior of the proposed model in the paper.

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Section: Introductionmentioning

confidence: 99%

A Delayed Epidemic Model for Propagation of Malicious Codes in Wireless Sensor Network

2019

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“…Mishra and Keshri et al [11][12][13][14][15] proposed different epidemic models with vaccination to study the attacking behavior of malicious codes in wireless sensor networks. Ojha et al [16][17][18] formulated different models with quarantine to depict worm propagation behavior in wireless sensor network. There are also some dynamical models with both vaccination and quarantine [19,20] and other models [21][22][23][24] to model the dynamics of malicious codes in wireless sensor networks.…”

Section: Introductionmentioning

confidence: 99%

Hopf bifurcation of a delayed worm model with two latent periods

Liu

Zhang

2019

Adv Differ Equ

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We investigate a delayed epidemic model for the propagation of worm in wireless sensor network with two latent periods. We derive sufficient conditions for local stability of the worm-induced equilibrium of the system and the existence of Hopf bifurcation by regarding different combination of two latent time delays as the bifurcation parameter and analyzing the distribution of roots of the associated characteristic equation. In particular, we investigate the direction and stability of the Hopf bifurcation by means of the normal form theory and center manifold theorem. To verify analytical results, we present numerical simulations. Also, the effect of some influential parameters of sensor network is properly executed so that the oscillations can be reduced and removed from the network.

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“…In Mishra, Srivasstava, and Mishra (2014), Khanh (2016), Nwokoye, Ozoegwu, and Ejiofor (2017), worm propagation models with quarantine in wireless sensor network to explore the spreading law of worms were investigated. Xiao et al (2017) studied a worm propagation model with quarantine in mobile internet. Fatima, Ali, Ahmed, and Rafiq (2018) proposed a computer virus epidemic model with quarantine and infectivity in latent period.…”

Section: Introductionmentioning

confidence: 99%

A delayed computer virus model with nonlinear incidence rate

Chu

Xia

Wang

2019

Systems Science & Control Engineering

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An Susceptible-Vaccinated-Exposed-Infectious-Recovered computer virus model with nonlinear incidence rate and two delays is proposed and its Hopf bifurcation is investigated. The existence of Hopf bifurcation at the viral equilibrium is established by analyzing its distribution of characteristic values. Moreover, the stability and the direction of the Hopf bifurcation are obtained by using the normal form theory and centre manifold theory. Finally, a numerical simulation is performed to validate the theoretical results obtained in the paper.

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Design and analysis of SEIQR worm propagation model in mobile internet

Cited by 46 publications

References 16 publications

A Delayed Epidemic Model for Propagation of Malicious Codes in Wireless Sensor Network

A Delayed Epidemic Model for Propagation of Malicious Codes in Wireless Sensor Network

Hopf bifurcation of a delayed worm model with two latent periods

A delayed computer virus model with nonlinear incidence rate

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