Density-dependent dispersal in multiple species metapopulations

  • 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

    Related Papers:

    [1] Britnee Crawford, Christopher Kribs-Zaleta . A metapopulation model for sylvatic T. cruzi transmission with vector migration. Mathematical Biosciences and Engineering, 2014, 11(3): 471-509. doi: 10.3934/mbe.2014.11.471
    [2] Jin Zhong, Yue Xia, Lijuan Chen, Fengde Chen . Dynamical analysis of a predator-prey system with fear-induced dispersal between patches. Mathematical Biosciences and Engineering, 2025, 22(5): 1159-1184. doi: 10.3934/mbe.2025042
    [3] Zhilan Feng, Robert Swihart, Yingfei Yi, Huaiping Zhu . Coexistence in a metapopulation model with explicit local dynamics. Mathematical Biosciences and Engineering, 2004, 1(1): 131-145. doi: 10.3934/mbe.2004.1.131
    [4] Pan Zheng . On a two-species competitive predator-prey system with density-dependent diffusion. Mathematical Biosciences and Engineering, 2022, 19(12): 13421-13457. doi: 10.3934/mbe.2022628
    [5] Tracy L. Stepien, Erica M. Rutter, Yang Kuang . A data-motivated density-dependent diffusion model of in vitro glioblastoma growth. Mathematical Biosciences and Engineering, 2015, 12(6): 1157-1172. doi: 10.3934/mbe.2015.12.1157
    [6] Zhiyin Gao, Sen Liu, Weide Li . Biological control for predation invasion based on pair approximation. Mathematical Biosciences and Engineering, 2022, 19(10): 10252-10274. doi: 10.3934/mbe.2022480
    [7] James T. Cronin, Jerome Goddard II, Amila Muthunayake, Ratnasingham Shivaji . Modeling the effects of trait-mediated dispersal on coexistence of mutualists. Mathematical Biosciences and Engineering, 2020, 17(6): 7838-7861. doi: 10.3934/mbe.2020399
    [8] José Luis Díaz Palencia, Abraham Otero . Modelling the interaction of invasive-invaded species based on the general Bramson dynamics and with a density dependant diffusion and advection. Mathematical Biosciences and Engineering, 2023, 20(7): 13200-13221. doi: 10.3934/mbe.2023589
    [9] Fu-Yuan Tsai, Feng-BinWang . Mathematical analysis of a chemostat system modeling the competition for light and inorganic carbon with internal storage. Mathematical Biosciences and Engineering, 2019, 16(1): 205-221. doi: 10.3934/mbe.2019011
    [10] Maryam Basiri, Frithjof Lutscher, Abbas Moameni . Traveling waves in a free boundary problem for the spread of ecosystem engineers. Mathematical Biosciences and Engineering, 2025, 22(1): 152-184. doi: 10.3934/mbe.2025008
  • 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
  • Reader Comments
  • © 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)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Metrics

Article views(2336) PDF downloads(416) Cited by(6)

Article outline

Other Articles By Authors

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog