STOCHASTIC DELAY GILPIN–AYALA COMPETITION MODELS

In this paper, we investigate a stochastic Gilpin–Ayala competition system, which is more general and more realistic than the classical Lotka–Volterra competition system. We reveal that the environmental noise will not only suppress a potential population explosion in the stochastic delay Gilpin–Ayala competition system but also make the solutions stochastically ultimately bounded. Comparing the classical Lotka–Volterra with Gilpin–Ayala competition system, we find that the latter has better proprieties.