Stochastic Lotka–Volterra mutualism model with jumps
Volume 11, Issue 3 (2024), pp. 289–301
Pub. online: 9 January 2024
Type: Research Article
Open Access
Open Access
Received
22 August 2023
22 August 2023
Revised
28 December 2023
28 December 2023
Accepted
29 December 2023
29 December 2023
Published
9 January 2024
9 January 2024
Abstract
The existence and uniqueness of the global positive solution are proved for the system of stochastic differential equations describing a two-species Lotka–Volterra mutualism model disturbed by white noise, centered and noncentered Poisson noises. For the considered system, sufficient conditions of stochastic ultimate boundedness, stochastic permanence, nonpersistence and strong persistence in the mean are obtained.
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