  Nowadays, evidence is mounting that the race of living organisms for
adaptation to the chemicals synthesized by their neighbours may drive community
structures. Particularly, some bacterial infections and plant invasions
disruptive of the native community rely on the release of allelochemicals that
inhibit or kill sensitive strains or individuals from their own or other
species. In this report, an eco-evolutionary model for community assembly
through resource competition, allelophatic interactions, and evolutionary
branching is presented and studied by numerical analysis. Our major findings
are that stable communities with increasing biodiversity can emerge at weak
allelopathic suppression, but stronger allelophaty is negatively correlated
with community diversity. In the former regime the allelopathic interaction
networks exhibit Gaussian degree distributions, while in the later one the
network degrees are Weibull distributed.
