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Bifurcations in a predator--prey model in patchy environment with diffusion - MaRDI portal

Bifurcations in a predator--prey model in patchy environment with diffusion (Q2572143)

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Bifurcations in a predator--prey model in patchy environment with diffusion
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    Bifurcations in a predator--prey model in patchy environment with diffusion (English)
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    14 November 2005
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    The authors study a two-species predator-prey system living in a habitat of two identical patches, linked by migration. It is shown, analytically and numerically, that for certain values of the parameters the system undergoes a diffusion driven instability (Turing instability), when the stable constant steady-state equilibrium loses stability towards a stationnary spatially non-constant pattern.
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    predator-prey system
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    diffusive instability
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    Turing bifurcation
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