TY - JOUR
T1 - Impact of Plankton Body Size on a Stochastic Plankton System with Lévy Jumps
AU - Sun , Shulin
AU - Jin , Yaping
AU - Guo , Cuihua
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 493
EP - 513
PY - 2025
DA - 2025/04
SN - 7
DO - http://doi.org/10.12150/jnma.2025.493
UR - https://global-sci.org/intro/article_detail/jnma/23986.html
KW - Phytoplankton-zooplankton system, Lévy jump, Lyapunov function, ${\rm It}\check{o}$ formula, stationary distribution.
AB - <p style="text-align: justify;">In consideration of the important impact of plankton body size
and Lévy noise on plankton system, a stochastic phytoplankton-zooplankton
system with Lévy jump is proposed and investigated in this paper. Firstly,
we prove that there is a unique global positive solution to the system by
using Lyapunov function and ${\rm It}\check{o}$&nbsp;formula. Then, some thresholds which depend on plankton body size are given, and they determine the extinction and
weak persistence in the mean of plankton populations. In addition, the sufficient conditions for the existence of a stationary distribution of the solution
are given. Finally, some numerical simulations are introduced to support the
main theoretical results and illustrate the impact of plankton body size and
environmental noise on plankton populations.</p>