Stochastic two-species mutualism model with jumps
Open Access
- 3 March 2020
- journal article
- research article
- Published by VTeX in Modern Stochastics: Theory and Applications
- Vol. 7 (1), 1-15
- https://doi.org/10.15559/20-vmsta150
Abstract
Publisher: VTeX - Solutions for Science Publishing, Journal: Modern Stochastics - Theory and Applications, Title: Stochastic two-species mutualism model with jumps, Authors: Olga Borysenko, Oleksandr Borysenko , The existence and uniqueness are proved for the global positive solution to the system of stochastic differential equations describing a two-species mutualism model disturbed by the white noise, the centered and non-centered Poisson noises. We obtain sufficient conditions for stochastic ultimate boundedness, stochastic permanence, nonpersistence in the mean, strong persistence in the mean and extinction of the solution to the considered system.Keywords
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