Stability of multispecies communities in randomly varying environment

Abstract

In this work, we initiate a stability study of multispecies communities in stochastic environment by-using Ito's differential equations as community models. By applying the decomposition-aggregation approach in the context of Liapunov's direct method, we will obtain sufficient condition for stability in the mean of the equilibrium populations. As a by-product of this analysis, we will exhibit important structural properties of the stochastic density-dependent models, and establish tolerance of community stability to a broad class of nonlinear and time-varying perturbations.