Some remarks on five-dimensional survival models

In the paper has been showed on selected models how survival probabilities of five populations change with an assumption that they reached an equilibrium level given by the same number of individuals. For this purpose, a comparative simulation was used made by means of SDE-SOLVER complete computer software package. Five- dimensional Lotka-Volterra models were examined: the deterministic type, the Gaussian type in a stochastic version, and the Gaussian-Poissonian type. In addition, by means of MATHEMATICA 4.0 computer programme, formulas were derived making determination of equilibrium stationary points of the five-dimensional Lotka-Volterra system possible. Also, a stability analysis of the received equilibrium points was made in selected cases. As shown by the practice, application area for the given models is rather wide (see also [4]).