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Qualitative analysis of stochastic ratio-dependent predator-prey systems
Chunyan Ji,Daqing Jiang,Yanan Zhao
Keywords:Stochastic ratio-dependent predator-prey system; Persistence in time average; Extinction; Stationary distribution
Abstract:
      In this paper, two stochastic ratio-dependent predator-prey systems are considered. One is just with withe noise, and the other one is taken into both white noise and color noise account. Sufficient criteria for extinction and persistence in time average are established. The critical value between persistence and extinction is obtained. Moreover, we show that there is stationary distribution for the stochastic system with regime-switching. Finally, examples and simulations are carried on to verify these results.