Dynamics of a Predator-Prey System with a Mate-Finding Allee Effect
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We consider a ratio-dependent predator-prey system with a mate-finding Allee effect on prey.
The stability properties of the equilibria and a complete bifurcation analysis, including the existence of a saddle-node, a Hopf bifurcation, and, a Bogdanov-Takens bifurcations, have been proved theoretically and numerically.
The blow-up method has been applied to investigate the structure of a neighborhood of the origin.
Our mathematical results show the mate-finding Allee effect can reduce the complexity of system behaviors by making the complicated equilibrium less complicated, and it can be a destabilizing force as well, which makes the system has a high possibility of being threatened with extinction in ecology.
American Psychological Association (APA)
Wu, Ruiwen& Liu, Xiuxiang. 2014. Dynamics of a Predator-Prey System with a Mate-Finding Allee Effect. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1014551
Modern Language Association (MLA)
Wu, Ruiwen& Liu, Xiuxiang. Dynamics of a Predator-Prey System with a Mate-Finding Allee Effect. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1014551
American Medical Association (AMA)
Wu, Ruiwen& Liu, Xiuxiang. Dynamics of a Predator-Prey System with a Mate-Finding Allee Effect. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1014551
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014551