Density-dependent dispersal in multiple species metapopulations

Jacques A. L. Silva; Flávia T. Giordani

doi:10.3934/mbe.2008.5.843

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2008, Volume 5, Issue 4: 843-857. Doi: 10.3934/mbe.2008.5.843

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Density-dependent dispersal in multiple species metapopulations

Jacques A. L. Silva^1, and
Flávia T. Giordani^1,

1.
Depto. de Matemática Pura e Aplicada, Universidade Federal do Rio Grande do Sul, Av. Bento Gon¸calves, 9500. Bairro Agronomia, Porto Alegre, RS

Received: November 30, 2007

Revised: April 30, 2008

Published: September 2008

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Abstract

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.

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Mathematics Subject Classification: Primary: 92B05; Secondary: 93C55, 93C10.

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