Statistical mechanics and stability of a model eco-system

Details Statistical mechanics and stability of a model eco-system Statistical mechanics and stability of a model eco-system

2007-05-10

arxiv.org/abs/0705.1523v2

J. Stat. Mech. (2007) P09003

Biology

Quantitative Biology

Populations and Evolution

23 pages, 13 figures; text of paper modified, discussion extended, references added

Scientific paper

10.1088/1742-5468/2007/09/P09003

We study a model ecosystem by means of dynamical techniques from disordered systems theory. The model describes a set of species subject to competitive interactions through a background of resources, which they feed upon. Additionally direct competitive or co-operative interaction between species may occur through a random coupling matrix. We compute the order parameters of the system in a fixed point regime, and identify the onset of instability and compute the phase diagram. We focus on the effects of variability of resources, direct interaction between species, co-operation pressure and dilution on the stability and the diversity of the ecosystem. It is shown that resources can be exploited optimally only in absence of co-operation pressure or direct interaction between species.

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