Stationary patterns of a predator-prey model with spatial effect |
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Authors: | Li-Mei Zhu Biao Wang |
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Institution: | Key Laboratory for AMT Shanxi, North University of China, Taiyuan 030051, China |
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Abstract: | In this paper, spatial patterns of predator-prey model with cross diffusion are investigated. The Hopf and Turing bifurcation critical line in a spatial domain are obtained by using mathematical theory. Moreover, exact Turing space is given in two parameters space. Our results reveal that cross diffusion can induce stationary patterns, which may be useful to help us better understand the dynamics of the real ecosystems. |
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Keywords: | Predator-prey Cross diffusion Pattern formation |
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