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The Dynamics of a Delayed Predator-Prey Model with Double Allee Effect
Joint Authors
Xue, Yakui
Xie, Boli
Wang, Zhijun
Zhang, Zhenmin
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We study the dynamics of a delayed predator-prey model with double Allee effect.
For the temporal model, we showed that there exists a threshold of time delay in predator-prey interactions; when time delay is below the threshold value, the positive equilibrium E ∗ is stable.
However, when time delay is above the threshold value, the positive equilibrium E ∗ is unstable and period solution will emerge.
For the spatiotemporal model, through numerical simulations, we show that the model dynamics exhibit rich parameter space Turing structures.
The obtained results show that this system has rich dynamics; these patterns show that it is useful for a delayed predator-prey model with double Allee effect to reveal the spatial dynamics in the real model.
American Psychological Association (APA)
Xie, Boli& Wang, Zhijun& Xue, Yakui& Zhang, Zhenmin. 2015. The Dynamics of a Delayed Predator-Prey Model with Double Allee Effect. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060369
Modern Language Association (MLA)
Xie, Boli…[et al.]. The Dynamics of a Delayed Predator-Prey Model with Double Allee Effect. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1060369
American Medical Association (AMA)
Xie, Boli& Wang, Zhijun& Xue, Yakui& Zhang, Zhenmin. The Dynamics of a Delayed Predator-Prey Model with Double Allee Effect. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060369
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060369