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Bifurcation in a Discrete Competition System
Joint Authors
Chang, Zhongxiang
Zou, Lianjun
Zhang, Guang Y.
Xu, Li
Lou, Shanshan
Peng, Xiangwei
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-28
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A new difference system is induced from a differential competition system by different discrete methods.
We give theoretical analysis for local bifurcation of the fixed points and derive the conditions under which the local bifurcations such as flip occur at the fixed points.
Furthermore, one- and two-dimensional diffusion systems are given when diffusion terms are added.
We provide the Turing instability conditions by linearization method and inner product technique for the diffusion system with periodic boundary conditions.
A series of numerical simulations are performed that not only verify the theoretical analysis, but also display some interesting dynamics.
American Psychological Association (APA)
Xu, Li& Zou, Lianjun& Chang, Zhongxiang& Lou, Shanshan& Peng, Xiangwei& Zhang, Guang Y.. 2014. Bifurcation in a Discrete Competition System. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-453392
Modern Language Association (MLA)
Xu, Li…[et al.]. Bifurcation in a Discrete Competition System. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-453392
American Medical Association (AMA)
Xu, Li& Zou, Lianjun& Chang, Zhongxiang& Lou, Shanshan& Peng, Xiangwei& Zhang, Guang Y.. Bifurcation in a Discrete Competition System. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-453392
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453392