Basins of Attraction for Two-Species Competitive Model with Quadratic Terms and the Singular Allee Effect
Joint Authors
Kulenovic, Mustafa R. S.
Brett, A.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-01-12
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We consider the following system of difference equations: xn+1=xn2/B1xn2+C1yn2, yn+1=yn2/A2+B2xn2+C2yn2, n=0, 1, …, where B1, C1, A2, B2, C2 are positive constants and x0, y0≥0 are initial conditions.
This system has interesting dynamics and it can have up to seven equilibrium points as well as a singular point at (0,0), which always possesses a basin of attraction.
We characterize the basins of attractions of all equilibrium points as well as the singular point at (0,0) and thus describe the global dynamics of this system.
Since the singular point at (0,0) always possesses a basin of attraction this system exhibits Allee’s effect.
American Psychological Association (APA)
Brett, A.& Kulenovic, Mustafa R. S.. 2015. Basins of Attraction for Two-Species Competitive Model with Quadratic Terms and the Singular Allee Effect. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1060789
Modern Language Association (MLA)
Brett, A.& Kulenovic, Mustafa R. S.. Basins of Attraction for Two-Species Competitive Model with Quadratic Terms and the Singular Allee Effect. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-16.
https://search.emarefa.net/detail/BIM-1060789
American Medical Association (AMA)
Brett, A.& Kulenovic, Mustafa R. S.. Basins of Attraction for Two-Species Competitive Model with Quadratic Terms and the Singular Allee Effect. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1060789
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060789