Long-time dynamics of a stochastic density dependent predator-prey model with Holling II functional response and jumps
Probability
2022-08-11 v1
Abstract
The existence and uniqueness of a global positive solution is proven for the system of stochastic differential equations describing a nonautonomous stochastic density dependent predator-prey model with Holling-type II functional response disturbed by white noise, centered and non-centered Poisson noises. Sufficient conditions are obtained for stochastic ultimate boundedness, stochastic permanence, non-persistence in the mean, weak persistence in the mean and extinction of a population densities in the considered stochastic predator-prey model.
Keywords
Cite
@article{arxiv.2208.05259,
title = {Long-time dynamics of a stochastic density dependent predator-prey model with Holling II functional response and jumps},
author = {Olga Borysenko and Oleksandr Borysenko},
journal= {arXiv preprint arXiv:2208.05259},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2012.03249, arXiv:2003.12339