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Coexistence and superior competitor exclusion in the Leslie–Gower competition model with fast dispersal

Author

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  • Marvá, Marcos
  • de la Parra, Rafael Bravo

Abstract

In this work, we study a nonlinear two time scales discrete competition model. Specifically, we deal with a spatially distributed Leslie–Gower competition model with fast dispersal. After building up the corresponding two time scales model, we have used approximate aggregation techniques to derive a lower dimensional, reduced system. When the ratio between time scales is large enough, the aggregated system can be used to analyze the two time scales model.

Suggested Citation

  • Marvá, Marcos & de la Parra, Rafael Bravo, 2015. "Coexistence and superior competitor exclusion in the Leslie–Gower competition model with fast dispersal," Ecological Modelling, Elsevier, vol. 306(C), pages 247-256.
    • Handle: RePEc:eee:ecomod:v:306:y:2015:i:c:p:247-256
    DOI: 10.1016/j.ecolmodel.2014.10.039
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    Cited by:

    1. Castillo-Alvino, Hamlet Humberto & Marvá, Marcos, 2022. "Group defense promotes coexistence in interference competition: The Holling type IV competitive response," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 426-445.

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