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
- 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/).
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 - 10.2991/iccia.2012.337 ID - Li2014/05 ER -