Gompertzian dynamics

In this paper, we have introduced a mathematical model to describe processes that grow in time rapidly.  The model has the form of a system of non-linear differential equations with Gompertzian dynamics and non-stationary parameters.  We have formulated and studied the  problem of finding the predictive estimation for the systems of differential equations with Gompertzian dynamics, for the case of continuous observation.  We have suggested the algorithms for building guaranteed predictive estimations for the model.  We have presented as an example, the results of numerical experiments to bu