Dynamics of a computer virus propagation model with delays and graded infection rate
type: Item
instance of: scholarly article
title: Dynamics of a computer virus propagation model with delays and graded infection rate
zbMATH Open document ID: 1358.34095
DOI: 10.1155/2017/4514935
published in: Advances in Mathematical Physics
publication date: 2017-01-27T00:00:00Z
review text: Summary: A four-compartment computer virus propagation model with two delays and graded infection rate is investigated in this paper. The critical values where a Hopf bifurcation occurs are obtained by analyzing the distribution of eigenvalues of the corresponding characteristic equation. In succession, direction and stability of the Hopf bifurcation when the two delays are not equal are determined by using normal form theory and center manifold theorem. Finally, some numerical simulations are also carried out to justify the obtained theoretical results.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 68M10
Mathematics Subject Classification ID: 34K17
Mathematics Subject Classification ID: 34K19
zbMATH DE Number: 6678675
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: normal form theory
zbMATH Keywords: numerical simulations
Wikidata QID: Q59142439
author: Zizhen Zhang
author: Li-Min Song
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/4514935
OpenAlex ID: W2568969954
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description: scientific article; zbMATH DE number 6678675