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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Online-Zugang: | https://arxiv.org/abs/2312.07737 |
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| _version_ | 1866913225463824384 |
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| author | Chen, Can Wang, Xu-Wen Liu, Yang-Yu |
| author_facet | Chen, Can Wang, Xu-Wen Liu, Yang-Yu |
| contents | The stability of ecological systems is a fundamental concept in ecology, which offers profound insights into species coexistence, biodiversity, and community persistence. In this article, we provide a systematic and comprehensive review on the theoretical frameworks for analyzing the stability of ecological systems. Notably, we survey various stability notions, including linear stability, sign stability, diagonal stability, D-stability, total stability, sector stability, structural stability, and higher-order stability. For each of these stability notions, we examine necessary or sufficient conditions for achieving such stability and demonstrate the intricate interplay of these conditions on the network structures of ecological systems. Finally, we explore the future prospects of these stability notions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_07737 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stability of Ecological Systems: A Theoretical Review Chen, Can Wang, Xu-Wen Liu, Yang-Yu Dynamical Systems Systems and Control The stability of ecological systems is a fundamental concept in ecology, which offers profound insights into species coexistence, biodiversity, and community persistence. In this article, we provide a systematic and comprehensive review on the theoretical frameworks for analyzing the stability of ecological systems. Notably, we survey various stability notions, including linear stability, sign stability, diagonal stability, D-stability, total stability, sector stability, structural stability, and higher-order stability. For each of these stability notions, we examine necessary or sufficient conditions for achieving such stability and demonstrate the intricate interplay of these conditions on the network structures of ecological systems. Finally, we explore the future prospects of these stability notions. |
| title | Stability of Ecological Systems: A Theoretical Review |
| topic | Dynamical Systems Systems and Control |
| url | https://arxiv.org/abs/2312.07737 |