Analytical solution of a model for complex food webs -: art. no. 030901
Analytical solution of a model for complex food webs -: art. no. 030901
复制标题
DOI：
10.1103/physreve.65.030901
复制
发表时间：
2002-03-01
影响因子：
2.4
通讯作者：
Amaral, LAN
中科院分区：
文献类型：
--
作者：
Camacho, J;Guimerà, R;Amaral, LAN
我们在大网络尺寸和稀疏相互作用矩阵的限制下，对最近提出的食物网模型 [Nature 404, 180 (2000)] 进行了数值和分析研究。我们获得了几个具有生态意义的量的解析表达式，特别是猎物数量和捕食者数量的概率分布。我们发现这些分布分别具有快速衰减的指数尾部和高斯尾部。我们还发现我们的分析表达式对于模型细节的变化具有鲁棒性。
We investigate numerically and analytically a recently proposed model for food webs [Nature 404, 180 (2000)] in the limit of large web sizes and sparse interaction matrices. We obtain analytical expressions for several quantities with ecological interest, in particular, the probability distributions for the number of prey and the number of predators. We find that these distributions have fast-decaying exponential and Gaussian tails, respectively. We also find that our analytical expressions are robust to changes in the details of the model.