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Dynamic Complexities in 2-Dimensional Discrete-Time Predator-Prey Systems with Allee Effect in the Prey
Joint Authors
Ren, Lishun
Yan, Jie
Li, Chunli
Chen, Xueli
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-25
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The Allee effect is incorporated into a predator-prey model with linear functional response.
Compared with the predator-prey which only takes the crowding effect and predator partially dependent on prey into consideration, it is found that the Allee effect of the prey species would increase the extinction risk of both the prey and predator.
Moreover, by using a center manifold theorem and bifurcation theory, it is shown that the model with Allee effect undergoes the flip bifurcation and Hopf bifurcation in the interior of R + 2 with different Allee effect values.
In the two bifurcations, we can come to the conclusion that different Allee effect will have different bifurcation value and the increasing of the Allee effect will increase the value of bifurcation, respectively.
American Psychological Association (APA)
Yan, Jie& Li, Chunli& Chen, Xueli& Ren, Lishun. 2016. Dynamic Complexities in 2-Dimensional Discrete-Time Predator-Prey Systems with Allee Effect in the Prey. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1103440
Modern Language Association (MLA)
Yan, Jie…[et al.]. Dynamic Complexities in 2-Dimensional Discrete-Time Predator-Prey Systems with Allee Effect in the Prey. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-14.
https://search.emarefa.net/detail/BIM-1103440
American Medical Association (AMA)
Yan, Jie& Li, Chunli& Chen, Xueli& Ren, Lishun. Dynamic Complexities in 2-Dimensional Discrete-Time Predator-Prey Systems with Allee Effect in the Prey. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1103440
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103440