Long-time behavior of a nonautonomous stochastic predator–prey model with jumps
Volume 8, Issue 1 (2021), pp. 17–39
Pub. online: 8 March 2021
Type: Research Article
Open Access
Open Access
Received
20 November 2020
20 November 2020
Revised
12 February 2021
12 February 2021
Accepted
21 February 2021
21 February 2021
Published
8 March 2021
8 March 2021
Abstract
The existence and uniqueness of a global positive solution is proven for the system of stochastic differential equations describing a nonautonomous stochastic predator–prey model with a modified version of the Leslie–Gower term and Holling-type II functional response disturbed by white noise, centered and noncentered Poisson noises. Sufficient conditions are obtained for stochastic ultimate boundedness, stochastic permanence, nonpersistence in the mean, weak persistence in the mean and extinction of a solution to the considered system.
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