Modeling the dynamics of nutrient–phytoplankton–zooplankton system with variable-order fractional derivatives

B Ghanbari, JF Gómez-Aguilar - Chaos, Solitons & Fractals, 2018 - Elsevier
We extended the nutrient–phytoplankton–zooplankton model involving variable-order
fractional differential operators of Liouville–Caputo, Caputo–Fabrizio and Atangana …

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 …

Dynamics of a three species food chain model with Crowley–Martin type functional response

RK Upadhyay, RK Naji - Chaos, solitons & fractals, 2009 - Elsevier
In this paper, a three species food chain model, consisting of a hybrid type of prey-
dependent and predator-dependent functional responses, is investigated analytically as well …

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 …

Persistence and stability analysis of discrete-time predator–prey models: A study of population and evolutionary dynamics

AS Ackleh, MI Hossain, A Veprauskas… - Journal of Difference …, 2019 - Taylor & Francis
Prolonged exposure to disturbances, such as toxicants, has the potential to result in
evolutionary responses in a population. These evolutionary responses may impact not just …

[PDF][PDF] Persistence of predators in a two predators-one prey model with non-periodic solution

J Alebraheem, Y Abu-Hasan - Applied Mathematical Sciences, 2012 - Citeseer
A model of two competing predators sharing one prey in homogeneous environment with
Holling type-II functional response is introduced. It is cast as a Kolmogorov-type system of …

Dynamical analysis of a phytoplankton–zooplankton system with harvesting term and Holling III functional response

Z Jiang, W Zhang, J Zhang, T Zhang - International Journal of …, 2018 - World Scientific
A toxin-producing phytoplankton and zooplankton system is investigated. Considering that
zooplankton can be harvested for food in some bodies of water, the harvesting term is …

The dynamic of plankton–nutrient interaction with delay

A Sharma, AK Sharma, K Agnihotri - Applied Mathematics and …, 2014 - Elsevier
In this paper we consider the plankton–nutrient interaction model with the help of delay
differential equations. Firstly the elementary dynamical properties of the plankton–nutrient …

Exploring the complexity and chaotic behavior in plankton–fish system with mutual interference and time delay

A Ojha, NK Thakur - BioSystems, 2020 - Elsevier
Anti-predator defense is an important mechanism that preys use to reduce the stress of
constant struggle in a high concentration of predator and commonly established through …

Analysis of a plankton–fish model with external toxicity and nonlinear harvesting

SN Raw, B Tiwari, P Mishra - Ricerche di Matematica, 2020 - Springer
In this paper, we consider a three species plankton–fish system that incorporates external
toxicity and nonlinear harvesting. We consider that the growth of species are affected directly …