Abstract

With the wide applications of the communication networks, the topic of information networks security is getting more and more attention from governments and individuals. This paper is devoted to investigating a malware propagation model with carrier compartment and delay to describe the process of malware propagation in mobile wireless sensor networks. Based on matrix theory for characteristic values, the local stability criterion of equilibrium points is established. Applying the linear approximation method of nonlinear systems, we study the existence of Hopf bifurcation at the equilibrium points. At the same time, we identify some sensitive parameters in the process of malware propagation. Finally, numerical simulations are performed to illustrate the theoretical results.

Highlights

  • In recent years, social networks, as a new platform for information propagation and communication and for establishing wide social relations, have gradually come into focus; see, e.g., [7,11,12,26,30]

  • As Khan et al [13] point out the advantages of malware wireless sensor networks (MWSNs) over static wireless sensor networks include enhanced target tracking, better improved coverage, energy efficiency, and superior channel capacity

  • We study a new malware spreading model with a carrier compartment and delays

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Summary

Introduction

Social networks, as a new platform for information propagation and communication and for establishing wide social relations, have gradually come into focus; see, e.g., [7,11,12,26,30]. Malicious software has become increasingly of concern to the economy and society; some authors have studied malware wireless sensor networks (MWSNs). They try to understand how the MWSN spreads. Based on the theory of complex networks, the spreading threshold that monitors the dynamics of the model was calculated, the properties of malware epidemics were investigated. (i) Based on the clustering analysis of social networks and the SIR model in the epidemic theory, we develop a new malware propagation model with a carrier compartment and delay.

Modeling a malware propagation model
Local stability and Hopf bifurcation
Virus-free equilibrium and its stability
Sensitivity analysis of the rate constant ε on the number of carrier nodes
Influence of delays on the number of carrier nodes
Conclusions
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