期刊
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
卷 -, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2013/04/P04006
关键词
pattern formation (theory)
资金
- Fund Project of Zhejiang Provincial Education Department [Y201223449]
- Natural Science Foundation of Zhejiang Province [LY12A01014]
In this paper, we consider a diffusive predation model with a delay effect, which is based on a modified version of the Leslie Gower scheme incorporating a prey refuge. We mainly investigate the effects of time delay on the stability of the homogeneous state point and the formation of spatial patterns. We give the conditions for diffusion-driven and delay diffusion-driven instability in detail. Furthermore, we illustrate the spatial patterns via numerical simulations, which show that the model dynamics exhibits a delay and diffusion controlled formation growth not only of spots, stripes and holes, but also of self-replicating spiral patterns. The results indicate that the delay plays an important role in the pattern selection. This may enrich the pattern dynamics for a delay diffusive model.
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