  If one isolated species (corporation) is supposed to evolve following the
logistic mapping, then we are tempted to think that the dynamics of two species
(corporations) can be expressed by a coupled system of two discrete logistic
equations. As three basic relationships between two species are present in
Nature, namely symbiosis, predator-prey and competition, three different models
are obtained. Each model is a cubic two-dimensional discrete logistic-type
equation with its own dynamical properties: stationary regime, periodicity,
quasi-periodicity and chaos. We also propose that these models could be useful
for thinking in the different interactions happening in the economic world, as
for instance for the competition and the collaboration between corporations.
Furthermore, these models could be considered as the basic ingredients to
construct more complex interactions in the ecological and economic networks.
