Local diversity–stability of the q-snapback network model

Yang LOU, Lin WANG, Guanrong CHEN*

*Corresponding author for this work

Research output: Journal PublicationsJournal Article (refereed)peer-review


The diversity–stability relationship in system dynamics had found significant implication to species evolution in the classical cascade and niche models of the ecosystem. In this paper, the local diversity–stability of the q-snapback network model, which is similar to the cascade and niche models, is investigated by analyzing the eigenvalue distribution near its equilibrium. It is found that the basic diversity–stability feature of the q-snapback network is similar to that of the random-graph network, and to that of the cascade and niche models when their different degree distributions are set to be homogeneous.

Original languageEnglish
Article number121020
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Early online date26 Apr 2019
Publication statusPublished - 15 Dec 2019
Externally publishedYes

Bibliographical note

Funding Information:
This research was supported by the National Natural Science Foundation of China under Grant Nos. 61473189 and 61873167 , the Natural Science Foundation of Shanghai under Grant No. 17ZR1445200 , and the Hong Kong Research Grants Council under the GRF Grant CityU11234916 .

Publisher Copyright:
© 2019 Elsevier B.V.


  • Community
  • Diversity–stability
  • Eigenvalue distribution
  • q-snapback network


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