Hopf bifurcation analysis for a computer virus model with two delays
type: Item
instance of: scholarly article
title: Hopf bifurcation analysis for a computer virus model with two delays
zbMATH Open document ID: 1296.34169
DOI: 10.1155/2013/560804
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: This paper is concerned with a computer virus model with two delays. Its dynamics are studied in terms of local stability and Hopf bifurcation. Sufficient conditions for local stability of the positive equilibrium and existence of the local Hopf bifurcation are obtained by regarding the possible combinations of the two delays as a bifurcation parameter. Furthermore, explicit formulae for determining direction of the Hopf bifurcation and stability of the bifurcating periodic solutions are obtained by using the normal form method and center manifold theory. Finally, some numerical simulations are presented to support the theoretical results.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K17
Mathematics Subject Classification ID: 34K19
zbMATH DE Number: 6307003
zbMATH Keywords: local stability
zbMATH Keywords: normal form
author: Zizhen Zhang
author: Huizhong Yang
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/560804
OpenAlex ID: W2137085754
Wikidata QID: Q58917126
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description: scientific article; zbMATH DE number 6307003