Abstract
In this paper, a bi-dimensional continuous-time stochastic differential system of Leslie-Grower types is considered. The proposed predator-prey model with white noises is theoretically and numerically investigated. The global existence of the positive unique solution of the model is obtained. The boundedness in the sense of moments of the solution is shown. Some asymptotic properties of the stochastic system are also elaborated. New methodological approaches based on the statistical linearisation method as well as on the coupled and weighted procedures are elaborated. Numerical results of the density function for the stationary state are obtained.