Proceedings of the 2012 2nd International Conference on Computer and Information Application (ICCIA 2012)

Hopf Bifurcation Analysis of a Three-stage-structured Prey-predator System with Multi-delays

Authors
Shunyi Li, Wenwu Liu
Corresponding Author
Shunyi Li
Available Online May 2014.
DOI
https://doi.org/10.2991/iccia.2012.337How to use a DOI?
Keywords
three-stage-structured, prey-predator system, multi-delays, Hopf bifurcation
Abstract

A three-stage-structured prey-predator model with multi-delays is considered. The characteristic equations and local stability of the equilibrium are analyzed, and the conditions for the positive equilibrium occurring Hopf bifurcation are obtained by applying the theorem of Hopf bifurcation. Finally, numerical examples and brief conclusion are given.

Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2012 2nd International Conference on Computer and Information Application (ICCIA 2012)
Series
Advances in Intelligent Systems Research
Publication Date
May 2014
ISBN
978-94-91216-41-1
ISSN
1951-6851
DOI
https://doi.org/10.2991/iccia.2012.337How to use a DOI?
Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Shunyi Li
AU  - Wenwu Liu
PY  - 2014/05
DA  - 2014/05
TI  - Hopf Bifurcation Analysis of a Three-stage-structured Prey-predator System with Multi-delays
BT  - Proceedings of the 2012 2nd International Conference on Computer and Information Application (ICCIA 2012)
PB  - Atlantis Press
SP  - 1358
EP  - 1361
SN  - 1951-6851
UR  - https://doi.org/10.2991/iccia.2012.337
DO  - https://doi.org/10.2991/iccia.2012.337
ID  - Li2014/05
ER  -