Dynamic Study of a Predator-Prey Model with Weak Allee Effect and Delay
Joint Authors
Ye, Yong
Liu, Hua
Wei, Yu-mei
Ma, Ming
Zhang, Kai
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-08-06
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, a prey-predator model and weak Allee effect in prey growth and its dynamical behaviors are studied in detail.
The existence, boundedness, and stability of the equilibria of the model are qualitatively discussed.
Bifurcation analysis is also taken into account.
After incorporating the searching delay and digestion delay, we establish a delayed predator-prey system with Allee effect.
The results show that there exist stability switches and Hopf bifurcation occurs while the delay crosses a set of critical values.
Finally, we present some numerical simulations to illustrate our theoretical analysis.
American Psychological Association (APA)
Ye, Yong& Liu, Hua& Wei, Yu-mei& Ma, Ming& Zhang, Kai. 2019. Dynamic Study of a Predator-Prey Model with Weak Allee Effect and Delay. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1119006
Modern Language Association (MLA)
Ye, Yong…[et al.]. Dynamic Study of a Predator-Prey Model with Weak Allee Effect and Delay. Advances in Mathematical Physics No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1119006
American Medical Association (AMA)
Ye, Yong& Liu, Hua& Wei, Yu-mei& Ma, Ming& Zhang, Kai. Dynamic Study of a Predator-Prey Model with Weak Allee Effect and Delay. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1119006
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119006