Design and Analysis of Modified SIQRS Model for Performance Study of Wireless Sensor Network

Abstract

The dynamics of worm propagation in the Wireless Sensor Networks (WSNs) is one of the fundamental challenge due to critical operational constraints. In this paper we propose a modified Susceptible-Infectious-Quarantined-Recovered-Susceptible (SIQRS) model based on epidemic theory. The proposed model demonstrate the effect of quarantined state on worms propagation in WSNs. This model incorporates communication radius, area of communication and the associated node density. The spreading dynamics of worms defined with the help of Basic Reproduction Number (R 0) and if R 0 is less than or equal to one the worm-free equilibrium is globally asymptotically stable, and if R 0 is greater than one the worm will persists in the system. This model formulated by differential equations and explain the process of worm propagation in WSNs. We also study the effect of different parameters on the performance of system. Finally, the control mechanism and performance of the proposed model is validated through extensive simulation results.

Bifurcation Analysis of a Delayed Worm Propagation Model with Saturated Incidence

“…Based on the discussion about the distribution of the roots of (16) in [32], we suppose that ( 3 ): (16) has at least one positive root V 0 .…”

“…Based on this consideration, the SEIR (Susceptible-Exposed-InfectiousRecovered) model [13,14] and the SEIRS (SusceptibleExposed-Infectious-Recovered-Susceptible) model [11,15] are proposed to describe the dynamics of worm propagation in networks. Considering influence of the quarantine strategy and the vaccination strategy on the propagation of worms, some worm models with quarantine strategy [16][17][18][19] and vaccination strategy [20][21][22][23][24][25] are formulated and analyzed.…”

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

“…Nwokoye et al [29,30] investigated an SEIRS-V worm model with different forms. Ojha et al [31] proposed a modified SIQRS worm propagation model by introducing quarantined compartment into the model proposed by Feng et al in [27]. Very recently, based on the model proposed in [29,30,32], Nwokoye and Umeh [33] formulated the following modified SEIQRS-V epidemic model for propagation of malicious codes in wireless sensor network:…”

Hopf bifurcation of a delayed worm model with two latent periods

“…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.…”