A famous nonlinear stochastic equation (Lotka-Volterra model with diffusion)

In our paper, we are interested in the generalization of the famous Lotka-Volterra models by the help of stochastic nonlinear differential equations (called diffusion type processes). We propose by Itoʹs rule some two- and multidimensional systems of stochastic differential equation, which can be used in statistical inference. For this reason, we give the Radon-Nikodym derivative of measures, the related linear stochastic models, and the discussion of the stability problems. We use the authorʹs earlier results in parameter estimation, stochastic control, and Kلlmلn filtering.