Literature DB >> 26032652

Analysis of dispersal effects in metapopulation models.

Alfonso Ruiz-Herrera1.   

Abstract

The interplay between local dynamics and dispersal rates in discrete metapopulation models for homogeneous landscapes is studied. We introduce an approach based on scalar dynamics to study global attraction of equilibria and periodic orbits. This approach applies for any number of patches, dispersal rates, or landscape structure. The existence of chaos in metapopulation models is also discussed. We analyze issues such as sensitive dependence on the initial conditions or short/intermediate/long term behaviours of chaotic orbits.

Keywords:  Chaos; Global stability; Metapopulation; Sensitive dependence on the initial conditions; Synchrony; Transient dynamics

Mesh:

Year:  2015        PMID: 26032652     DOI: 10.1007/s00285-015-0897-9

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  15 in total

Review 1.  Complex species interactions and the dynamics of ecological systems: long-term experiments.

Authors:  J H Brown; T G Whitham; S K Morgan Ernest; C A Gehring
Journal:  Science       Date:  2001-07-27       Impact factor: 47.728

2.  Chaos and population disappearances in simple ecological models.

Authors:  S J Schreiber
Journal:  J Math Biol       Date:  2001-03       Impact factor: 2.259

3.  Interplay between local dynamics and dispersal in discrete-time metapopulation models.

Authors:  Abdul-Aziz Yakubu; Carlos Castillo-Chavez
Journal:  J Theor Biol       Date:  2002-10-07       Impact factor: 2.691

4.  Analytical results for coupled-map lattices with long-range interactions.

Authors:  Celia Anteneodo; Sandro E de S Pinto; Antônio M Batista; Ricardo L Viana
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2003-10-23

5.  Noise-induced macroscopic bifurcations in globally coupled chaotic units.

Authors:  Silvia De Monte; Francesco d'Ovidio; Hugues Chaté; Erik Mosekilde
Journal:  Phys Rev Lett       Date:  2004-06-24       Impact factor: 9.161

6.  The hydra effect, bubbles, and chaos in a simple discrete population model with constant effort harvesting.

Authors:  Eduardo Liz; Alfonso Ruiz-Herrera
Journal:  J Math Biol       Date:  2011-11-10       Impact factor: 2.259

7.  Transients: the key to long-term ecological understanding?

Authors:  Alan Hastings
Journal:  Trends Ecol Evol       Date:  2004-01       Impact factor: 17.712

8.  Sudden shifts in ecological systems: intermittency and transients in the coupled Ricker population model.

Authors:  Derin B Wysham; Alan Hastings
Journal:  Bull Math Biol       Date:  2007-12-08       Impact factor: 1.758

9.  Chaos reduces species extinction by amplifying local population noise.

Authors:  J C Allen; W M Schaffer; D Rosko
Journal:  Nature       Date:  1993-07-15       Impact factor: 49.962

10.  Can the solar cycle and climate synchronize the snowshoe hare cycle in Canada? Evidence from tree rings and ice cores.

Authors:  A R Sinclair; J M Gosline; G Holdsworth; C J Krebs; S Boutin; J N Smith; R Boonstra; M Dale
Journal:  Am Nat       Date:  1993-02       Impact factor: 3.926

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  1 in total

1.  Using Permutations for Hierarchical Clustering of Time Series.

Authors:  Jose S Cánovas; Antonio Guillamón; María Carmen Ruiz-Abellón
Journal:  Entropy (Basel)       Date:  2019-03-21       Impact factor: 2.524

  1 in total

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