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 …

Dynamics of a fractional plankton–fish model under the influence of toxicity, refuge, and combine-harvesting efforts

RN Premakumari, C Baishya, MKA Kaabar - Journal of Inequalities and …, 2022 - Springer
In this work, we analyze plankton–fish dynamics in the presence of toxicity, refuge, and
combine-harvesting efforts by a considering Holling type-II functional response. We have …

Dynamics of a stochastic nutrient–plankton model with regime switching

Q Guo, Y Wang, C Dai, L Wang, H Liu, J Li, PK Tiwari… - Ecological …, 2023 - Elsevier
In this paper, a stochastic nutrient–plankton model with regime switching is proposed, where
the regime switching plankton mortality is described by a continuous time Markov chain with …

Harvesting of a phytoplankton–zooplankton model

Y Lv, Y Pei, S Gao, C Li - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
Considering that some phytoplankton and zooplankton are harvested for food, a
phytoplankton–zooplankton model with harvesting is proposed and investigated. First …

A prey–predator system with disease in prey and cooperative hunting strategy in predator

S Saha, GP Samanta - Journal of Physics A: Mathematical and …, 2020 - iopscience.iop.org
A predator–prey model is proposed in this work where the prey population is infected by a
disease. Here, healthy prey species show defence mechanism while they are attacked by …

Analysis of interval-valued model for interaction between plankton-fish population in marine ecosystem

RK Upadhyay, SP Tiwari, RP Yadav - Ecological Modelling, 2023 - Elsevier
The crux of present investigation is to develop an interval-valued population model for the
interaction between phytoplankton, zooplankton and fish population under cyrtoid type …

[HTML][HTML] Modeling and analysis of a two-zooplankton one-phytoplankton system in the presence of toxicity

K Chakraborty, K Das - Applied Mathematical Modelling, 2015 - Elsevier
In this study, we describe a two-zooplankton one-phytoplankton system that exhibits a
Holling type II functional response in the presence of toxicity. Combined effort (E) is used to …

A nonautonomous model for the effect of environmental toxins on plankton dynamics

A Mandal, PK Tiwari, S Samanta, E Venturino, S Pal - Nonlinear Dynamics, 2020 - Springer
The increasing input of environmental toxins in aquatic systems raises concerns regarding
the environmental exposure and impact of toxins on natural aquatic environments …

Study of stability and bifurcation of three species food chain model with non-monotone functional response

U Ghosh, S Sarkar, B Mondal - International Journal of Applied and …, 2021 - Springer
In this research article, we consider a tri-trophic food chain model with one prey and two
predators such as-prey, intermediate predator and top predator. In this model, the prey and …

Modelling of phytoplankton allelopathy with Monod–Haldane-type functional response—A mathematical study

R Pal, D Basu, M Banerjee - Biosystems, 2009 - Elsevier
In this paper, a three-tier model of phytoplankton, zooplankton and nutrient is considered
and stability of different equilibrium points is analyzed along with Hopf-bifurcation around …