Existence And Boundedness Of A Class Of Stochastic Lotka-Volterra Predator-Prey System Analysis

For biology, the use of mathematical models to study the biology of importan-t issues, so that people on the biological law of development have a comprehensive understanding. However, various random interference in the real ecological system everywhere. The growth rate, environmental capacity and other parameters of the system are influenced by environmental noise. This dissertation separately disscuss the boundedness, extinction and weak persistence of the two-dimensional stochastic Lotka-Volterra predator-prey system solution. The feasibility of the conclusion has also been proved by using the method of numerical simulations. The structure of this paper is as follows:In the first chapter, the research status of Lotka-Volterra system are briefly intro-duced, meanwhile the innovation of this paper is introduced.In the second chapter, the research object of this paper that the stochastic Lotka-Volterra predator-prey system is presented, and the uniqueness of the solution of the system is discussed.In the third chapter, the boundedness, extinction and weak persistence of the solu-tion of the two-species stochastic Lotka-Volterra predator-prey system are discussed, and the upper bound of the solution is obtained.In the fourth chapter, the boundedness, extinction and weak persistence of solu-tions in the third chapter are verified by using the method of numerical simulations, The numerical results show that the conclusion is correct.