Stability analysis and Hopf bifurcation of a fractional order mathematical model with time delay for nutrient-phytoplankton-zooplankton
type: Item
instance of: scholarly article
title: Stability analysis and Hopf bifurcation of a fractional order mathematical model with time delay for nutrient-phytoplankton-zooplankton
zbMATH Open document ID: 1467.92244
author: Ruiqing Shi
author: Jianing Ren
author: Cuihong Wang
published in: Mathematical Biosciences and Engineering
publication date: 2021-07-07T00:00:00Z
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 34K18
zbMATH DE Number: 7369196
zbMATH Keywords: fractional order
zbMATH Keywords: nutrient-phytoplankton-zooplankton
zbMATH Keywords: time delay
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: mbe.2020214
OpenAlex ID: W3026272116
cites work: Dynamical analysis of toxin producing Phytoplankton-Zooplankton interactions
cites work: Stochastic acceleration in generalized squared Bessel processes
cites work: Spatio-temporal patterns in population dynamics
cites work: The stationary distribution of a microorganism flocculation model with stochastic perturbation
cites work: Global dynamics of a model for treating microorganisms in sewage by periodically adding microbial flocculants
cites work: The dynamics of temperature and light on the growth of phytoplankton
cites work: Mathematical modelling of plankton-oxygen dynamics under the climate change
cites work: Stability and bifurcation in a two harmful phytoplankton-zooplankton system
cites work: Stability and persistence in plankton models with distributed delays.
cites work: Time lags can control algal bloom in two harmful phytoplankton-zooplankton system
cites work: Hopf bifurcation of the stochastic model on HAB nonlinear stochastic dynamics
cites work: Controlling bifurcation in a delayed fractional predator-prey system with incommensurate orders
cites work: Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
cites work: Fractional-order delayed predator-prey systems with Holling type-II functional response
cites work: Fractional calculus for scientists and engineers.
cites work: Fractional conservation laws in optimal control theory
cites work: EFFECTS OF DELAY AND SEASONALITY ON TOXIN PRODUCING PHYTOPLANKTON–ZOOPLANKTON SYSTEM
cites work: Effect of delay on globally stable prey-predator system
cites work: Stability of Hopf bifurcation of a delayed SIRS epidemic model with stage structure
cites work: Stability and bifurcation of a delayed generalized fractional-order prey-predator model with interspecific competition
cites work: Stability and Hopf Bifurcation of Fractional-Order Complex-Valued Single Neuron Model with Time Delay
cites work: The stationary distribution and ergodicity of a stochastic phytoplankton-zooplankton model with toxin-producing phytoplankton under regime switching
cites work: On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
cites work: Antisynchronization of nonidentical fractional-order chaotic systems using active control
Wikidata QID: Q100312480
DOI: 10.3934/MBE.2020214
description: scientific article; zbMATH DE number 7369196