Dynamics Behavior of the Plankton Model in Foraging Arena
In this paper,the dynamics behavior of a plankton model in foraging arena were investigated.Firstly,it was proved that there was a unique global positive solution starting from the positive initial value.Then,sufficient conditions for extinction and persistence in mean were obtained by comparison theorem for sto-chastic differential equation.In addition,it was proved that there existed a unique ergodic stationary distribu-tion.Finally,the theoretical results were verified by numerical simulation.
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