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- W2016095496 abstract "In this paper, spatial dynamics in the Beddington–DeAngelis predator–prey model with self-diffusion and cross-diffusion is investigated. We analyze the linear stability and obtain the condition of Turing instability of this model. Moreover, we deduce the amplitude equations and determine the stability of different patterns. Numerical simulations show that this system exhibits complex dynamical behaviors. In the Turing space, we find three types of typical patterns. One is the coexistence of hexagon patterns and stripe patterns. The other two are hexagon patterns of different types. The obtained results well enrich the finding in predator–prey models with Beddington–DeAngelis functional response." @default.
- W2016095496 created "2016-06-24" @default.
- W2016095496 creator A5033684035 @default.
- W2016095496 date "2012-12-01" @default.
- W2016095496 modified "2023-10-16" @default.
- W2016095496 title "Pattern formation in a predator–prey model with spatial effect" @default.
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- W2016095496 doi "https://doi.org/10.1016/j.physa.2012.06.029" @default.
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