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arXiv 2012.032492020-12math.PR

Long-time behavior of a non-autonomous stochastic predator-prey model with jumps

Olga Borysenko, Oleksandr Borysenko

备注：: arXiv admin note: text overlap with arXiv:2003.12339

英文摘要：

It is proved the existence and uniqueness of the global positive solution to the system of stochastic differential equations describing a non-autonomous stochastic predator-prey model with a modified version of Leslie-Gower and Holling-type II functional response disturbed by white noise, centered and non-centered Poisson noises. We obtain sufficient conditions of stochastic ultimate boundedness, stochastic permanence, non-persistence in the mean, weak persistence in the mean, and extinction of the solution to the considered system.

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