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. 2019 Feb 22;9:2572. doi: 10.1038/s41598-019-38961-5

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© The Author(s) 2019

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Change of the spectrum of the covariance matrix as the system moves toward the bifurcation at c = 2.47. The bifurcation point c = 2.47 is computed using the deterministic part of the harvesting model. Each line represents all the eigenvalues of the covariance matrix under a certain parameter value. The index is simply an integer which varies from 1 to 400, with index 1 meaning the largest eigenvalue, index 2 meaning the second largest eigenvalue, and so on.