Estimation Of Parameters And Asymptotic Characteristic Of Discrete Stochastic Lotka-Volterra Competition System

The 21st century is a century of life science,the mathematical biology advanced rapidly, and the study in determinate system is perfect. In face,the species ecology systems are often subject to ,some uncertain factors,white noise,whether the presence of such noise affects these results that we have obtained has received exten sive attention ,which makes the study about stochastic system more and more important.In recent years ,with the rapid development of stochastic differential equation, it has permeated many fields, such as science, engineering ect.more over the estimating of the parameters of the stochastic differential equation by applying statistic methods will become an important discussion.This paper discusses a discrete stochastic Lotka-Volterra competition systemwhere ε₁,κ are i.i.d N(O,1) , ε₂,κ are i.i.d N(0,1), p is is revelant coefficient of ε₁,κ and ε₂,κ. Maximum Likelihood Estimation (MLE) of parameters and asymptotic characteristic of the system are studied.