@Article{JNMA-6-812,
author = {Xu , Chaoqun and Yuan , Shuai},
title = {Copper Contamination Effects on Phytoplankton-Zooplankton System within Deterministic and Stochastic Environments},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {3},
pages = {812--824},
abstract = {<p style="text-align: justify;">Since the aquatic organisms are very sensitive to the increasing
copper contamination in water, this paper focuses on investigating the effects
of copper contamination on the interaction between phytoplankton and zooplankton species within both deterministic and stochastic environments. We
first construct a deterministic phytoplankton-zooplankton interaction model
coupled with the copper concentration and analyze its dynamics, including
existence and stability of equilibria, as well as the existence of Hopf bifurcation. A new stochastic model is derived in the form of continuous-time Markov
chain (CTMC), and branching process theory is applied to the CTMC model
to estimate the extinction probability of zooplankton species. Analytical and
numerical findings show that the destiny of species is closely related to the
copper concentration, and the predictions of the deterministic and stochastic
models may be different in some cases.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.812},
url = {http://global-sci.org/intro/article_detail/jnma/23364.html}
}