Dynamical complexity of a spatial predator-prey system

Bo-Li Xie, Zhi-Jun Wang, Ya-Kui Xue

Abstract


In this paper, we analyze the dynamical complexity of a spatial predator-prey system. We get the critical line of Hopf and Turing bifurcation in a spatial domain. Based on the mathematical analysis, we obtain the condition of the emergence of spatial patterns through diffusion instability, i.e., Turing pattern. The obtain results show that this system has rich dynamics, these patterns shows that it is useful the reaction-diffusion model to reveal the spatial dynamics in the real model.

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How to Cite this Article:

Bo-Li Xie, Zhi-Jun Wang, Ya-Kui Xue, Dynamical complexity of a spatial predator-prey system, Journal of Mathematical and Computational Science, Vol 4, No 2 (2014), 196-205

Copyright © 2014 Bo-Li Xie, Zhi-Jun Wang, Ya-Kui Xue. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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