Abstract :
In general tertns, non-conservation is introduced ad-hoc into the equations, in order to
get a realistic description. Whether conservative or not , the behavior of the solution is univocal.
Here we study two coupled difference logistic equations. Now the system is not univocally
conservative: during a period of time, it will be conservative with HaursdorE dimension 4% I 1 and
finally, a smallest pe~rbation will get over dimension 1 s D, s 2.