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

Olga Borysenko; Oleksandr Borysenko

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arXiv · 2012.03249

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

Olga Borysenko·Oleksandr Borysenko

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Abstract

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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Olga Borysenko, Oleksandr Borysenko. 2020-12-06. Long-time behavior of a non-autonomous stochastic predator-prey model with jumps. https://arxiv.org/abs/2012.03249

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