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    Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking

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    coexistence_and_extinction.pdf (7.180Mb)
    Date
    2009
    Author
    Al-Sharawi, Ziyad
    Rhouma, Mohamed Ben Haj
    Advisor(s)
    Unknown advisor
    Type
    Peer-Reviewed
    Article
    Preprint
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    Abstract
    The principle of competitive exclusion states that when the competition between species is sufficiently strong, only the dominant species survives. In this paper, we examine the strategies of using stocking and harvesting to prevent the extinction of the weak species in a competitive exclusion environment. We find that in a system governed by the Leslie/Gower model careful stocking will ensure the coexistence between all species. We also find that constant harvesting of the dominant species may guarantee the survival of the weaker species when the parameters of the model are in a certain range. Mixed strategies and conditional harvesting strategies are also discussed.
    DSpace URI
    http://hdl.handle.net/11073/16690
    External URI
    https://doi.org/10.1080/10236190802459861
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