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Bifurcation, Chaos, and Pattern Formation for the Discrete Predator-Prey Reaction-Diffusion Model.
- Source :
-
Discrete Dynamics in Nature & Society . 4/1/2019, p1-9. 9p. - Publication Year :
- 2019
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10260226
- Database :
- Academic Search Index
- Journal :
- Discrete Dynamics in Nature & Society
- Publication Type :
- Academic Journal
- Accession number :
- 135650579
- Full Text :
- https://doi.org/10.1155/2019/9592878