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Density-dependent dispersal in multiple species metapopulations

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  • A multiple species metapopulations model with density-dependent dispersal is presented. Assuming the network configuration matrix to be diagonizable we obtain a decoupling of the associated perturbed system from the homogeneous state. It was possible to analyze in detail the instability induced by the density-dependent dispersal in two classes of $k$-species interaction models: a hierarchically organized competitive system and an age-structured model.
    Mathematics Subject Classification: Primary: 92B05; Secondary: 93C55, 93C10.

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