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Mathematical Biosciences and Engineering

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

  • 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: 01 December 2007 Accepted: 29 June 2018 Published: 01 October 2008

  • MSC : Primary: 92B05; Secondary: 93C55, 93C10

  • 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.

    Citation: Jacques A. L. Silva, Flávia T. Giordani. Density-dependent dispersal in multiple species metapopulations[J]. Mathematical Biosciences and Engineering, 2008, 5(4): 843-857. doi: 10.3934/mbe.2008.5.843

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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.


  • This article has been cited by:

    1. Yunshyong Chow, Sophia R.-J. Jang, Nai-Sher Yeh, Dynamics of a population in two patches with dispersal, 2018, 24, 1023-6198, 543, 10.1080/10236198.2018.1428962
    2. Flávia T. Giordani, Jacques A. L. Silva, Asymptotic transversal stability for synchronized attractors in a metapopulation model, 2015, 38, 01704214, 4804, 10.1002/mma.3395
    3. Yunshyong Chow, Sophia R.-J. Jang, Coexistence in a discrete competition model with dispersal, 2013, 19, 1023-6198, 615, 10.1080/10236198.2012.663361
    4. 雨青 陈, Dynamic Properties of a Class of Discrete Population Model, 2019, 08, 2324-7991, 1463, 10.12677/AAM.2019.88171
    5. Chunqing Wu, Shengming Fan, Patricia J. Y. Wong, Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment, 2014, 2014, 1085-3375, 1, 10.1155/2014/140902
    6. Flávia Tereza Giordani, Fermín S. V. Bazán, Luciano Bedin, Coupling and Parameter Estimation for a Discrete Single-Species Metapopulation Model, 2025, 11, 2349-5103, 10.1007/s40819-025-01903-z
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  • © 2008 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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