Dynamic analysis of time fractional order phytoplankton–toxic phytoplankton–zooplankton system

M Javidi, B Ahmad - Ecological modelling, 2015 - Elsevier
In this paper, we study the dynamics of a time fractional order toxic-phytoplankton–
phytoplankton–zooplankton system (TPPZS). Routh–Hurwitz criteria is applied to discuss …

Spatiotemporal pattern formation and selection induced by nonlinear cross-diffusion in a toxic-phytoplankton–zooplankton model with Allee effect

R Han, B Dai - Nonlinear Analysis: Real World Applications, 2019 - Elsevier
The spatiotemporal pattern formation and selection driven by nonlinear cross-diffusion of a
toxic-phytoplankton–zooplankton model with Allee effect is investigated in this paper. We …

Numerical investigation of fractional model of phytoplankton–toxic phytoplankton–zooplankton system with convergence analysis

VP Dubey, J Singh, AM Alshehri, S Dubey… - International Journal of …, 2022 - World Scientific
In this paper, a fractional order model of the phytoplankton–toxic phytoplankton–
zooplankton system with Caputo fractional derivative is investigated via three computational …

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 …

Fractional approach for mathematical model of Phytoplankton–toxic Phytoplankton–Zooplankton system with Mittag-Leffler kernel

P Veeresha, L Akinyemi - International Journal of Biomathematics, 2023 - World Scientific
The solution for phytoplankton–toxic phytoplankton–zooplankton system with q-homotopy
analysis transform method (q-HATM) is discussed. The projected system exemplifies three …

The impact of environmental fluctuations on a plankton model with toxin-producing phytoplankton and patchy agglomeration

S Zhao, S Yuan, T Zhang - Chaos, Solitons & Fractals, 2022 - Elsevier
In aquatic ecosystem, plankton populations are easily affected by environmental fluctuations
due to the unpredictability of many physical factors such as nutrient availability, acidity, water …

Population dynamics and pattern formation in an info-chemical mediated tri-trophic plankton model

T Al-Karkhi - 2018 - repository.essex.ac.uk
In this thesis, we study a spatio–temporal prey–predator model of plankton. This model has
spatial interaction terms which represent a plankton dynamics that includes info–chemical …

Chaotic dynamics of a plankton-fish system with fear and its carry over effects in the presence of a discrete delay

B Dubey, SK Sasmal - Chaos, Solitons & Fractals, 2022 - Elsevier
Plankton-fish interactions are the central topic of interest related to marine ecology. Apart
from the direct predation (lethal effect) of zooplankton by fish, there are some non-lethal …

A phytoplankton–zooplankton–fish model with chaos control: In the presence of fear effect and an additional food

S Sajan, SK Sasmal, B Dubey - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
The interplay of phytoplankton, zooplankton, and fish is one of the most important aspects of
the aquatic environment. In this paper, we propose to explore the dynamics of a …

Dynamics induced by delay in a nutrient–phytoplankton model with diffusion

C Dai, M Zhao, H Yu - Ecological Complexity, 2016 - Elsevier
In this paper, a nutrient–phytoplankton model described by a couple of reaction-diffusion
equations with delay is studied analytically and numerically. The aim of this research is to …