Stochastic two-species mutualism model with jumps
Volume 7, Issue 1 (2020), pp. 1–15
Pub. online: 3 March 2020
Type: Research Article
Open Access
Open Access
Received
3 December 2019
3 December 2019
Revised
21 February 2020
21 February 2020
Accepted
21 February 2020
21 February 2020
Published
3 March 2020
3 March 2020
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.
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