Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8844803 | Ecological Complexity | 2018 | 9 Pages |
Abstract
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 non-predictable. 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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Authors
Vladimir Kozlov, Serge Vakulenko, Uno Wennergren, Vladimir Tkachev,