Bifurcation, Chaos, and Pattern Formation for the Discrete Predator-Prey Reaction-Diffusion Model
Joint Authors
Meng, Lili
Han, Yutao
Lu, Zhiyi
Zhang, Guang Y.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, a discrete predator-prey system with the periodic boundary conditions will be considered.
First, we get the conditions for producing Turing instability of the discrete predator-prey system according to the linear stability analysis.
Then, we show that the discrete model has the flip bifurcation and Turing bifurcation under the critical parameter values.
Finally, a series of numerical simulations are carried out in the Turing instability region of the discrete predator-prey model; some new Turing patterns such as striped, bar, and horizontal bar are observed.
American Psychological Association (APA)
Meng, Lili& Han, Yutao& Lu, Zhiyi& Zhang, Guang Y.. 2019. Bifurcation, Chaos, and Pattern Formation for the Discrete Predator-Prey Reaction-Diffusion Model. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1146685
Modern Language Association (MLA)
Meng, Lili…[et al.]. Bifurcation, Chaos, and Pattern Formation for the Discrete Predator-Prey Reaction-Diffusion Model. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1146685
American Medical Association (AMA)
Meng, Lili& Han, Yutao& Lu, Zhiyi& Zhang, Guang Y.. Bifurcation, Chaos, and Pattern Formation for the Discrete Predator-Prey Reaction-Diffusion Model. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1146685
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146685