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The impact of nonlinear infection rate on the spread of computer virus
The dominating majority of previous computer virus epidemic models assume a bilinear infection rate. This assumption, however, ignores the fact that, due to reasons such as overcrowded infected nodes and active protection measures taken at a high level of viral prevalence, the infection rate typically rises in a nonlinear fashion. This paper is devoted to understanding the impact of nonlinear infection rate on the propagation of computer infections. For that purpose, a new computer virus epidemic model is proposed by introducing a generic nonlinear infection rate into a traditional SLBS model. Theoretical analysis shows that, under moderate conditions, the proposed model admits a (viral) globally asymptotically stable equilibrium, fully demonstrating the robustness of stability of the equilibrium to the details of infections. The new model is justified through simulation experiments. We also determine the influence of some model parameters on the viral equilibrium. Our results extend some previously known results.
History
Journal
Nonlinear dynamicsVolume
82Issue
1-2Pagination
85 - 95Publisher
SpringerLocation
Cham, SwitzerlandPublisher DOI
ISSN
0924-090XeISSN
1573-269XLanguage
engPublication classification
C1.1 Refereed article in a scholarly journalCopyright notice
2015, Springer Science+Business Media DordrechtUsage metrics
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No categories selectedKeywords
Computer virus propagation modelNonlinear infection rateSaturation effectViral equilibriumGlobal stabilityAsymptotically autonomous systemGeneralized Poincare–Bendixson theoremScience & TechnologyTechnologyEngineering, MechanicalMechanicsEngineeringGeneralized Poincare-Bendixson theoremEPIDEMIC MODELPROPAGATION MODELTRANSMISSIONBEHAVIOR
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