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Stability Analysis of Time Delayed Fractional Order Predator-prey System with Crowley-Martin Functional Response
conghui xu,yongguang yu
Keywords:Fractional order system, Predator-prey model, Time delay, Crowley-Martin functional response, Stability analysis.
      In this paper, we present a fractional order predator-prey system with Crowley-Martin functional response. Firstly, we analyze the asymptotic stability of the system. At the same time, some sufficient conditions for the stability of the system are given. Then, we investigate the stability of the corresponding system with time delay and also discuss some sufficient conditions for the equilibrium stability of the system with time delay. In the end, the numerical simulations illustrate the accuracy of our conclusions.