| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1713948 | Nonlinear Analysis: Hybrid Systems | 2009 | 7 Pages |
Abstract
In this paper, we analyze the spatial pattern of a predator–prey system. We get the critical line of Hopf and Turing bifurcation in a spatial domain. In particular, the exact Turing domain is given. Also we perform a series of numerical simulations. The obtained results reveal that this system has rich dynamics, such as spotted, stripe and labyrinth patterns, which shows that it is useful to use the reaction–diffusion model to reveal the spatial dynamics in the real world.
Related Topics
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Control and Systems Engineering
Authors
Pan-Ping Liu, Zhen Jin,