Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
2010 | 10.1016/j.amc.2010.05.007 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Predator–prey,Cross diffusion,Pattern formation | Statistical physics,Combinatorics,Critical line,Mathematical analysis,Mathematical theory,Pattern formation,Turing,Numerical analysis,Spatial ecology,Mathematics,Hopf bifurcation,Bifurcation | Journal |
Volume | Issue | ISSN |
216 | 12 | 0096-3003 |
Citations | PageRank | References |
9 | 0.73 | 2 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Li-Mei Zhu | 1 | 9 | 0.73 |
Ai-Ling Wang | 2 | 11 | 4.20 |
Yong-Jiang Liu | 3 | 12 | 1.48 |
Biao Wang | 4 | 9 | 1.07 |