Pattern Formation in a Reaction-Diffusion Predator-Prey Model with Weak Allee Effect and Delay
Joint Authors
Ma, Weiyuan
Ye, Yong
Liu, Hua
Wei, Yu-mei
Ma, Ming
Zhang, Kai
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-30
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In this paper, we establish a reaction-diffusion predator-prey model with weak Allee effect and delay and analyze the conditions of Turing instability.
The effects of Allee effect and delay on pattern formation are discussed by numerical simulation.
The results show that pattern formations change with the addition of weak Allee effect and delay.
More specifically, as Allee effect constant and delay increases, coexistence of spotted and stripe patterns, stripe patterns, and mixture patterns emerge successively.
From an ecological point of view, we find that Allee effect and delay play an important role in spatial invasion of populations.
American Psychological Association (APA)
Liu, Hua& Ye, Yong& Wei, Yu-mei& Ma, Weiyuan& Ma, Ming& Zhang, Kai. 2019. Pattern Formation in a Reaction-Diffusion Predator-Prey Model with Weak Allee Effect and Delay. Complexity،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1132403
Modern Language Association (MLA)
Liu, Hua…[et al.]. Pattern Formation in a Reaction-Diffusion Predator-Prey Model with Weak Allee Effect and Delay. Complexity No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1132403
American Medical Association (AMA)
Liu, Hua& Ye, Yong& Wei, Yu-mei& Ma, Weiyuan& Ma, Ming& Zhang, Kai. Pattern Formation in a Reaction-Diffusion Predator-Prey Model with Weak Allee Effect and Delay. Complexity. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1132403
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132403