https://doi.org/10.1140/epjb/e2003-00030-x
Replicators with Hebb interactions
Instituto de Física de São Carlos,
Universidade de São Paulo,
Caixa Postal 369,
13560-970, São Carlos SP, Brazil
Corresponding author: a viviane@if.sc.usp.br
Received:
23
September
2002
Published online:
4
February
2003
We do an analytical study of the statistical properties of an ecosystem composed of
species that are coupled via pairwise interactions that are given by the Hebb rule and have
deterministic
self-interactions u. In the model each species is characterized by an infinite set of
traits. As one of our main results, we observe that the
ecosystem becomes less
cooperative as the complexity of species (number of traits) is increased.
PACS: 87.10.+e – General theory and mathematical aspects / 87.23.Cc – Population dynamics and ecological pattern formation / 87.23.Kg – Dynamics of evolution
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
