  A network of agents cooperate on a given area. Time evolution of their power
is described within a set of nonlinear equations. The limitation of resources
is introduced via the Verhulst term, equivalent to a global coupling. Each
agent is fed by some other agents from his neighborhood. Two subsequent stages
of the time evolution can be observed. Initially, the richness of everybody
increases distinctly, but its distribution becomes wide. After some transient
time, however, resources are exhausted. Richness of some agents falls to zero
and they are eliminated. Cooperation becomes less effective, what leads to
subsequent falls. Finally, small percent of agents survive in a steady state.
We investigate, how the cooperation influences the rate of surviving.
