@Article{JNMA-5-415,
author = {Yang , Zhenzhen and Yuan , Sanling},
title = {Dynamical Behavior of a Stochastic Nutrient-Plankton Food Chain Model with Lévy Jumps},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {5},
number = {2},
pages = {415--431},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2023.415},
url = {http://global-sci.org/intro/article_detail/jnma/21934.html}
}