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.
|Number of pages||9|
|Journal||Physica A: Statistical Mechanics and its Applications|
|Early online date||26 Apr 2019|
|Publication status||Published - 15 Dec 2019|
Bibliographical noteFunding 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 .
© 2019 Elsevier B.V.
- Eigenvalue distribution
- q-snapback network