Bifurcation Behavior Analysis in a Predator-Prey Model
Joint Authors
Dai, Chuanjun
Wang, Nan
Wang, Beibei
Wang, Pengfei
Yu, Hengguo
Zhao, Min
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-07
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A predator-prey model is studied mathematically and numerically.
The aim is to explore how some key factors influence dynamic evolutionary mechanism of steady conversion and bifurcation behavior in predator-prey model.
The theoretical works have been pursuing the investigation of the existence and stability of the equilibria, as well as the occurrence of bifurcation behaviors (transcritical bifurcation, saddle-node bifurcation, and Hopf bifurcation), which can deduce a standard parameter controlled relationship and in turn provide a theoretical basis for the numerical simulation.
Numerical analysis ensures reliability of the theoretical results and illustrates that three stable equilibria will arise simultaneously in the model.
It testifies the existence of Bogdanov-Takens bifurcation, too.
It should also be stressed that the dynamic evolutionary mechanism of steady conversion and bifurcation behavior mainly depend on a specific key parameter.
In a word, all these results are expected to be of use in the study of the dynamic complexity of ecosystems.
American Psychological Association (APA)
Wang, Nan& Zhao, Min& Yu, Hengguo& Dai, Chuanjun& Wang, Beibei& Wang, Pengfei. 2016. Bifurcation Behavior Analysis in a Predator-Prey Model. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1103411
Modern Language Association (MLA)
Wang, Nan…[et al.]. Bifurcation Behavior Analysis in a Predator-Prey Model. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1103411
American Medical Association (AMA)
Wang, Nan& Zhao, Min& Yu, Hengguo& Dai, Chuanjun& Wang, Beibei& Wang, Pengfei. Bifurcation Behavior Analysis in a Predator-Prey Model. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1103411
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103411