Evolution model with a cumulative feedback coupling. 
The paper is concerned with a toy model that generalizes the standard Lotka-Volterra equation for a certain population by introducing a competition between instantaneous and accumulative, history-dependent nonlinear feedback the origin of which could be a contribution from any kind of mismanagement in the past.  The results depend on the sign of that additional cumulative loss or gain term of strength lambda.  In case of a positive coupling the system offers a maximum gain achieved after a finite time but the population will die out in the long time limit.  In this case the instantaneous loss term of strength u is irrelevant and the model exhibits an exact solution.  In the opposite case lambda<0 the time evolution of the system is terminated in a crash after t(s) provided u=0.  This singularity after a finite time can be avoided if u not equal to 0.  The approach may well be of relevance for the qualitative understanding of more realistic descriptions.