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Analysis of autonomous Lotka-Volterra systems by Levy noise
Qiumei Zhang,Daqing Jiang
Keywords:Levy noise, Extinction, Asymptotic stability, Persistence
      The present paper deals with the problem of autonomous Lotka-Volterra systems by Levy noise. The essential mathematical features are analyzed with the help of the existence and uniqueness of the positive solution, the pth moment boundedness, asymptotic pathwise estimation, extinction, asymptotic stability and persistence by Lyapunov analysis methods. An example of three species predator-prey chain model is presented to illustrate the analytical findings.