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Stability of Ecological Systems: A Theoretical Review
Can Chen1,2, Xu-Wen Wang2, Yang-Yu Liu2,3
1School of Data Science and Society and Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, 27599, NC, USA.
None:
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, and structural 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. We further discuss the stability of ecological systems with higher-order interactions.
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