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Dynamics of a stochastic one-prey two-predator model with Lévy jumps. (English) Zbl 1410.92102
Summary: This paper is concerned with a one-prey two-predator model with both white noises and Lévy noises. We first carry out the almost complete parameters analysis for the model. In each case, we show that each species is either persistent in the mean or extinct, depending on some critical values. Then, we establish the sufficient criteria for stability in distribution of the model. Finally, we use some numerical examples to demonstrate the analytical findings.

92D25 Population dynamics (general)
37N25 Dynamical systems in biology
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