Stochastic two-species mutualism model with jumps
Probability
2020-03-30 v1
Abstract
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.
Cite
@article{arxiv.2003.12339,
title = {Stochastic two-species mutualism model with jumps},
author = {Olga Borysenko and Oleksandr Borysenko},
journal= {arXiv preprint arXiv:2003.12339},
year = {2020}
}
Comments
Published at https://doi.org/10.15559/20-VMSTA150 in the Modern Stochastics: Theory and Applications (https://vmsta.org/) by VTeX (http://www.vtex.lt/)