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Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking
Al-Sharawi, Ziyad Rhouma, Mohamed Ben Haj
Al-Sharawi, Ziyad
Rhouma, Mohamed Ben Haj
Date
2009
Advisor
Type
Peer-Reviewed
Article
Preprint
Article
Preprint
Degree
Citations
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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.