Year: 2023
Author: Zhenzhen Yang, Sanling Yuan
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 2 : pp. 415–431
Abstract
In aquatic ecosystem, plankton populations are easily affected by environmental fluctuations due to the unpredictability of many physical factors. To better understand how environmental fluctuations influence plankton populations, in this paper, we propose and investigate a stochastic nutrient-plankton food chain model with Lévy jumps. Firstly, by constructing a suitable Lyapunov function, we prove that the stochastic model has a unique global positive solution for any given positive initial value. Then, we establish sufficient conditions for the persistence and extinction of plankton. Finally, we provide some numerical simulations to illustrate the analytical results.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.415
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 2 : pp. 415–431
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Stochastic nutrient-plankton model persistence and extinction Lévy jumps.