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摘要

Highlights?A stochastic three species food chain model with general Levy jumps is proposed.?A criterion on the global stability in the mean with probability one for all species is established.?The results show that the dynamics of the model can be significantly changed by Levy jumps.AbstractA stochastic three species food chain model with general Le′vy jumps is investigated in the paper. The criterion on the global stability in the mean with probability one for each species is established. The results show that the dynamics of the model can be significantly changed by Le′vy jumps, and strongly ind