Asymmetrical Impact of Allee Effect on a Discrete-Time Predator-Prey System
Joint Authors
Chen, Xiuping
Wang, Wenting
Jiao, Yujuan
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A discrete-time predator-prey model is proposed with Leslie-type numerical response, and the asymmetrical influence of Allee effect on the proposed system is investigated.
By mathematical analysis, locally stable conditions for the equilibrium points of the considered systems with or without Allee effect are obtained firstly.
Furthermore, numerical simulation is used to verify the results and detect some new outcomes.
The results show that Allee effect on predator leads the system to its stable state in much longer time.
Conversely, the prey population with Allee effect makes it much faster.
In particular, a large value of Allee effect on prey results in periodic dynamics of the system.
American Psychological Association (APA)
Wang, Wenting& Jiao, Yujuan& Chen, Xiuping. 2013. Asymmetrical Impact of Allee Effect on a Discrete-Time Predator-Prey System. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-512702
Modern Language Association (MLA)
Wang, Wenting…[et al.]. Asymmetrical Impact of Allee Effect on a Discrete-Time Predator-Prey System. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-512702
American Medical Association (AMA)
Wang, Wenting& Jiao, Yujuan& Chen, Xiuping. Asymmetrical Impact of Allee Effect on a Discrete-Time Predator-Prey System. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-512702
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512702
