4.5 Article

Analysis of spatiotemporal patterns in a single species reaction-diffusion model with spatiotemporal delay

期刊

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2014.07.013

关键词

Spatiotemporal patterns; Turing bifurcation; Spatiotemporal delay; Multiple scale method; Amplitude equations

资金

  1. National Natural Science Foundation of China [11032009, 11272236]

向作者/读者索取更多资源

Employing the theories of Turing bifurcation in the partial differential equations, we investigate the dynamical behavior of a single species reaction-diffusion model with spatiotemporal delay. The linear stability and the conditions for the occurrence of Turing bifurcation in this model are obtained. Moreover, the amplitude equations which represent different spatiotemporal patterns are also obtained near the Turing bifurcation point by using multiple scale method. In Turing space, it is found that the spatiotemporal distributions of the density of this researched species have spots pattern and stripes pattern. Finally, some numerical simulations corresponding to the different spatiotemporal patterns are given to verify our theoretical analysis. (C) 2014 Elsevier Ltd. All rights reserved.

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