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Biodiversity and robustness of large ecosystems
Dynamical Systems · Submitted 7 Aug 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our main result establishes estimates of biodiversity in terms of the fundamental parameters of the model.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the biodiversity problem for resource competition systems with extinctions and self-limitation effects. | contribution 0.81 | 0.90 | 0.03 | asserted 0.68 |
| s1 | Our main result establishes estimates of biodiversity in terms of the fundamental parameters of the model. | result 0.94 | 0.96 | 0.93 | asserted 1.00 |
| s2 | We also prove the global stability of solutions for systems with extinctions and large turnover rate. | result 0.96 | 0.96 | 0.06 | asserted 1.00 |
| s3 | We show that when the extinction threshold is distinct from zero, the large time dynamics of system is fundamentally non-predictable. | result 0.99 | 0.92 | 0.10 | asserted 1.00 |
| s4 | 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. | result 0.85 | 0.95 | 0.09 | asserted 1.00 |
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The paper
Original 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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