Dynamic modeling and analysis of the email virus propagation
type: Item
instance of: scholarly article
title: Dynamic modeling and analysis of the email virus propagation
zbMATH Open document ID: 1248.90033
DOI: 10.1155/2012/472072
author: Jinxiao Pan
author: Zhen Jin
author: Yi-Hong Li
published in: Discrete Dynamics in Nature and Society
publication date: 2012-10-19T00:00:00Z
review text: Summary: A novel deterministic SEIS model for the transmission of email viruses in growing communication networks is formulated. Interestingly, the model is different from classical SEIS models not only in the form, but also in the dynamical features. We study the equilibria and their stability and analyse the bifurcation dynamics of the model. In particular, we find that the virus-free equilibrium is locally asymptotically stable for any parameter values, which may attribute to the absence of the basic reproduction number. It is shown that the model undergoes a saddle-node bifurcation and admits the bistable phenomenon. Moreover, on the basis of the Lyapunov function, the domains of attraction of equilibria are estimated by solving an LMI optimization problem. Based on the above theoretical results, some effective strategies are also provided to control the propagation of the email viruses. Additionally, our results are confirmed by numerical simulations.
Mathematics Subject Classification ID: 90B18
Mathematics Subject Classification ID: 68M10
Mathematics Subject Classification ID: 68M11
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 37N99
zbMATH DE Number: 6096227
zbMATH Keywords: deterministic SEIS model
zbMATH Keywords: transmission of email viruses
zbMATH Keywords: communication networks
Wikidata QID: Q58700575
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/472072
OpenAlex ID: W2118470533
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description: scientific article; zbMATH DE number 6096227