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 …

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 …

A non-autonomous approach to study the impact of environmental toxins on nutrient-plankton system

KK Choudhary, B Dubey - Applied Mathematics and Computation, 2023 - Elsevier
The interaction between phytoplankton and zooplankton has a significant impact on the
marine ecology. The interplay between these two species is the building blocks for most of …

[HTML][HTML] Interactive effects of prey refuge and additional food for predator in a diffusive predator-prey system

S Chakraborty, PK Tiwari, SK Sasmal, S Biswas… - Applied Mathematical …, 2017 - Elsevier
Additional food for predators has been considered as one of the best established techniques
in integrated pest management and biological conservation programs. In natural systems …

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 …

A nonautonomous model for the effects of refuge and additional food on the dynamics of phytoplankton-zooplankton system

A Mandal, PK Tiwari, S Pal - Ecological Complexity, 2021 - Elsevier
In this paper, a mathematical model for the interacting dynamics of phytoplankton-
zooplankton is proposed. The phytoplankton have the ability to take refuge and release …

Strong stability with impact of maturation delay and diffusion on a toxin producing phytoplankton–zooplankton model

SN Raw, SR Sahu - Mathematics and Computers in Simulation, 2023 - Elsevier
Plankton species is backbone for any healthy aquatic system, but a global increment in toxin
phytoplankton blooms is a major threat to aquatic systems. As toxic phytoplankton …

Dynamical study of nutrient‐phytoplankton model with toxicity: Effect of diffusion and time delay

R Singh, S Kumar Tiwari, A Ojha… - … Methods in the …, 2023 - Wiley Online Library
A harmful algal bloom is one of the significant concerns of marine biodiversity. The control of
such algal bloom is required for the conservation of marine ecology. The proposed work …

Cross-diffusion induced Turing instability and amplitude equation for a toxic-phytoplankton–zooplankton model with nonmonotonic functional response

R Han, B Dai - International Journal of Bifurcation and Chaos, 2017 - World Scientific
The spatiotemporal pattern induced by cross-diffusion of a toxic-phytoplankton–zooplankton
model with nonmonotonic functional response is investigated in this paper. The linear …

Effect of seasonality on a nutrient–plankton system with toxicity in the presence of refuge and additional food

PK Tiwari, S Roy, AK Misra, RK Upadhyay - The European Physical …, 2022 - Springer
In this paper, we investigate a mathematical model of plankton dynamics in an aquatic
system. We consider the fact that phytoplankton take refuge and release toxic chemicals to …