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Impact of noise effects on the phytoplankton-zooplankton dynamics
Min Zhao,Tiancai Liao,Hengguo Yu,Chuanjun Dai
Keywords:Noise, phytoplankton, zooplankton, extinction, persistence.
      In this paper, a delayed toxic phytoplankton-two zooplankton system incorporating the effffects of L′evy noise and white noise is studied analytically and numerically. The main purpose of this paper is to investigate how the white noise and L′evy noise affffect the phytoplankton-zooplankton dynamics. Mathematically, we fifirst prove the existence of a unique global positive solution of the system, and then we investigate the suffiffifficient conditions that guarantee the stochastic extinction and persistence in the mean of each population. Ecologically, via numerical simulations, we fifind that the effffect of white noise or L′evy noise on the stochastic extinction and persistence of phytoplankton and zooplankton are similar, but the synergistic effffects of the two noises on the stochastic extinction and persistence of these plankton are stronger than that of single noise. In addition, an increase in the toxin liberation rate or the intraspecifific competition rate of zooplankton was found to be capable to increase the biomass of the phytoplankton but decrease the biomass of zooplankton. These results may help us to better understand the phytoplankton-zooplankton dynamics in the flfluctuating environments.