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The instability of spiky steady states for a competing species model with cross diffusion - MaRDI portal

The instability of spiky steady states for a competing species model with cross diffusion (Q2484517)

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The instability of spiky steady states for a competing species model with cross diffusion
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    The instability of spiky steady states for a competing species model with cross diffusion (English)
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    1 August 2005
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    The author considers the stability and instability of a class of positive spiky steady states for a quasilinear cross-diffusion system describing two species competition and proves that the spiky steady states for the related shadow system are linear unstable, and the spiky states for the original cross-diffusion system are nonlinearly unstable.
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    spectral analysis
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    two species competition
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    shadow system
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