Dynamics of a delayed worm propagation model with quarantine

Abstract A delayed SEIQRS-V model with quarantine describing the dynamics of worm propagation is considered in the present paper. Local stability of the endemic equilibrium is addressed and the existence of a Hopf bifurcation at the endemic equilibrium is established by analyzing the corresponding c...

Full description

Bibliographic Details
Main Authors:	Zizhen Zhang, Limin Song
Format:	Article
Language:	English
Published:	SpringerOpen 2017-05-01
Series:	Advances in Difference Equations
Subjects:	SEIQRS-V model worms Hopf bifurcation periodic solutions
Online Access:	http://link.springer.com/article/10.1186/s13662-017-1212-4

id	doaj-1f255edabf9641d2a0d63abd763ca86d
record_format	Article
spelling	doaj-1f255edabf9641d2a0d63abd763ca86d2020-11-25T00:24:08ZengSpringerOpenAdvances in Difference Equations1687-18472017-05-012017111310.1186/s13662-017-1212-4Dynamics of a delayed worm propagation model with quarantineZizhen Zhang0Limin Song1School of Management Science and Engineering, Anhui University of Finance and EconomicsDepartment of Computer, Liaocheng College of EducationAbstract A delayed SEIQRS-V model with quarantine describing the dynamics of worm propagation is considered in the present paper. Local stability of the endemic equilibrium is addressed and the existence of a Hopf bifurcation at the endemic equilibrium is established by analyzing the corresponding characteristic equation. By means of the normal form theory and the center manifold theorem, properties of the Hopf bifurcation at the endemic equilibrium are investigated. Finally, numerical simulations are also given to support our theoretical conclusions.http://link.springer.com/article/10.1186/s13662-017-1212-4SEIQRS-V modelwormsHopf bifurcationperiodic solutions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zizhen Zhang Limin Song
spellingShingle	Zizhen Zhang Limin Song Dynamics of a delayed worm propagation model with quarantine Advances in Difference Equations SEIQRS-V model worms Hopf bifurcation periodic solutions
author_facet	Zizhen Zhang Limin Song
author_sort	Zizhen Zhang
title	Dynamics of a delayed worm propagation model with quarantine
title_short	Dynamics of a delayed worm propagation model with quarantine
title_full	Dynamics of a delayed worm propagation model with quarantine
title_fullStr	Dynamics of a delayed worm propagation model with quarantine
title_full_unstemmed	Dynamics of a delayed worm propagation model with quarantine
title_sort	dynamics of a delayed worm propagation model with quarantine
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2017-05-01
description	Abstract A delayed SEIQRS-V model with quarantine describing the dynamics of worm propagation is considered in the present paper. Local stability of the endemic equilibrium is addressed and the existence of a Hopf bifurcation at the endemic equilibrium is established by analyzing the corresponding characteristic equation. By means of the normal form theory and the center manifold theorem, properties of the Hopf bifurcation at the endemic equilibrium are investigated. Finally, numerical simulations are also given to support our theoretical conclusions.
topic	SEIQRS-V model worms Hopf bifurcation periodic solutions
url	http://link.springer.com/article/10.1186/s13662-017-1212-4
work_keys_str_mv	AT zizhenzhang dynamicsofadelayedwormpropagationmodelwithquarantine AT liminsong dynamicsofadelayedwormpropagationmodelwithquarantine
_version_	1725353852312485888

Dynamics of a delayed worm propagation model with quarantine

Similar Items