Statistical Properties of Multispecies Competition Ecosystems Subjected to Dichotomous Noises

We investigate statistical properties of multispecies competition ecosystems subjected to both symmetric and asymmetric dichotomous noises. The expression of the stationary probability distribution function (SPDF) is analytically derived by means of mean-field approximation, and verified bystochastic simulations. The results indicate that: (i) A noiseamplitude (a₀), a noise autocorrelation time (τ₀) and a noise symmetry parameter (k) all can affect the SPDF; (ii) There is an optimal τ₀, which makes the mean value of population density be maximal, near which a transition takes place, i.e., the stationary mean value of species density (_st) suddenly falls to a lower constant; (iii) As k decreases, the maximum of< x>_st and the optimal τ₀ increase. The parameter planes of τ₀-a₀² and τ₀-k for the transition are plotted.