Journal
ECOLOGICAL COMPLEXITY
Volume 36, Issue -, Pages 101-109Publisher
ELSEVIER
DOI: 10.1016/j.ecocom.2018.07.003
Keywords
Foodweb; Biodiversity; Global stability; Extinction threshold; Ecological networks; The R* rule
Categories
Funding
- Linkoping University
- Government of Russian Federation [08-08]
- RFBR [16-01-00648]
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We study the biodiversity problem for resource competition systems with extinctions and self-limitation effects. Our main result establishes estimates of biodiversity in terms of the fundamental parameters of the model. We also prove the global stability of solutions for systems with extinctions and large turnover rate. We show that when the extinction threshold is distinct from zero, the large time dynamics of system is fundamentally nonpredictable. In the last part of the paper we obtain explicit analytical estimates of ecosystem robustness with respect to variations of resource supply which support the R* rule for a system with random parameters.
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