  A birth-death lattice gas model about the influence of an environment on the
fitness and concentration evolution of economic entities is analytically
examined. The model can be mapped onto a high order logistic map. The control
parameter is a (scalar) "business plan". Conditions are searched for growth and
decay processes, stable states, upper and lower bounds, bifurcations, periodic
and chaotic solutions. The evolution equation of the economic population for
the best fitted companies indicates "microscopic conditions" for cycling. The
evolution of a dynamic exponent is shown as a function of the business plan
parameters.
