Stability and selective extinction in complex mutualistic networks.

  title={Stability and selective extinction in complex mutualistic networks.},
  author={Hyun Woo Lee and Jae Woo Lee and Deok-Sun Lee},
  journal={Physical review. E},
  volume={105 1-1},
We study species abundance in the 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 its nonzero components and those of its neighboring fixed points. Taking the annealed approximation, we derive the nonzero components to be formulated in terms of degrees and the rescaled interaction strengths, which lead us to… 

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