Pattern dynamics of a diffusive toxin producing phytoplankton–zooplankton model with three-dimensional patch

D Jia, T Zhang, S Yuan - International Journal of Bifurcation and …, 2019 - World Scientific
In this paper, the Turing pattern formation in a diffusive toxin producing phytoplankton–
zooplankton model with three-dimensional patch is investigated. Firstly, the conditions for …

Survival and ergodicity of a stochastic phytoplankton–zooplankton model with toxin-producing phytoplankton in an impulsive polluted environment

X Yu, S Yuan, T Zhang - Applied Mathematics and Computation, 2019 - Elsevier
To theoretically address the effects of random environmental change on the growth of
plankton, we propose a stochastic phytoplankton–zooplankton model with toxin-producing …

The effects of toxin-producing phytoplankton and environmental fluctuations on the planktonic blooms

X Yu, S Yuan, T Zhang - Nonlinear Dynamics, 2018 - Springer
Toxin-producing phytoplankton (TPP) and environmental fluctuations are important factors
influencing the real aquatic ecosystems. Whether planktonic blooms are related to these …

Global bifurcation in a toxin producing phytoplankton–zooplankton system with prey-taxis

Y Peng, Y Li, T Zhang - Nonlinear Analysis: Real World Applications, 2021 - Elsevier
In this paper, we first study the stability of the positive constant equilibrium and Turing
instability induced by prey-taxis for phytoplankton–zooplankton system with prey-taxis. Then …

Dynamical analysis of a fuzzy phytoplankton–zooplankton model with refuge, fishery protection and harvesting

XY Meng, YQ Wu - Journal of Applied Mathematics and Computing, 2020 - Springer
In this paper, a singular phytoplankton–zooplankton model with fuzzy parameters, refuge,
fishery protection and harvesting is studied by regarding the imprecise biological …

Irregular harmful algal blooms triggered by feedback between toxin production and zooplankton feeding

S Chakraborty, SD Moorthi, R Karnatak, U Feudel - Ecological Modelling, 2022 - Elsevier
Blooms of toxic or harmful phytoplankton (known as 'harmful algal blooms' or 'HABs') pose a
significant and increasing threat to human health and fisheries throughout the globe. The …

Deterministic and stochastic nutrient-phytoplankton-zooplankton models with periodic toxin producing phytoplankton

SRJ Jang, EJ Allen - Applied Mathematics and Computation, 2015 - Elsevier
Deterministic and stochastic models of nutrient-phytoplankton-zooplankton interaction are
proposed to investigate the impact of toxin producing phytoplankton upon persistence of the …

[PDF][PDF] Global Hopf bifurcation of a delayed phytoplankton-zooplankton system considering toxin producing effect and delay dependent coefficient

Z Jiang, X Bi, T Zhang, B Pradeep - Mathematical Biosciences and …, 2019 - aimspress.com
In this paper, a delayed phytoplankton-zooplankton system with the coefficient depending
on delay is investigated. Firstly, it gives the nonnegative and boundedness of solutions of …

Dynamics of interacting plankton induced by plankton body size in deterministic and stochastic environments

T Liao - Chinese Journal of Physics, 2022 - Elsevier
In this paper, we study the dynamics of a nutrient–phytoplankton–zooplankton model
incorporating the factor of plankton body size in deterministic and stochastic environments …

[HTML][HTML] Spatiotemporal dynamics of toxin producing phytoplankton–zooplankton interactions with Holling Type II functional responses

RS Baghel - Results in Control and Optimization, 2024 - Elsevier
In this paper, we have studied the spatiotemporal dynamics of phytoplankton-zooplankton
interactions using toxin-producing phytoplankton (TPP) with Holling type II functional …