Corpus ID: 235422643

Stability and selective extinction in complex mutualistic networks

@inproceedings{Lee2021StabilityAS,
  title={Stability and selective extinction in complex mutualistic networks},
  author={Hyun woo Lee and Jae Woo Lee and Deok-Sun Lee},
  year={2021}
}
We study species abundance in empirical plant-pollinator mutualistic networks exhibiting broad degree distributions, with uniform intragroup competition assumed, by the Lotka-Volterra equation. The stability of a fixed point is found to be identified by the signs of the non-zero components of itself and its neighboring fixed points. Taking the annealed approximation, we derive the non-zero components to be formulated in terms of degrees and the rescaled interaction strengths, which lead us to… Expand

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References

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See Supplemental Material for the multiplication properties of the matrix of ones, the derivation of the inverse interaction matrix, and of the fixed points