Stability analysis and Hopf bifurcation of a fractional order mathematical model with time delay for nutrient-phytoplankton-zooplankton
From MaRDI portal
Publication:2038777
DOI10.3934/mbe.2020214zbMath1467.92244OpenAlexW3026272116WikidataQ100312480 ScholiaQ100312480MaRDI QIDQ2038777
Ruiqing Shi, Jianing Ren, Cuihong Wang
Publication date: 7 July 2021
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2020214
Population dynamics (general) (92D25) Fractional derivatives and integrals (26A33) Ecology (92D40) Bifurcation theory of functional-differential equations (34K18)
Cites Work
- Fractional calculus for scientists and engineers.
- Stability and bifurcation in a two harmful phytoplankton-zooplankton system
- Effect of delay on globally stable prey-predator system
- The dynamics of temperature and light on the growth of phytoplankton
- Fractional-order delayed predator-prey systems with Holling type-II functional response
- Antisynchronization of nonidentical fractional-order chaotic systems using active control
- Hopf bifurcation of the stochastic model on HAB nonlinear stochastic dynamics
- Fractional conservation laws in optimal control theory
- Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
- Time lags can control algal bloom in two harmful phytoplankton-zooplankton system
- On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
- Dynamical analysis of toxin producing Phytoplankton-Zooplankton interactions
- Stability of Hopf bifurcation of a delayed SIRS epidemic model with stage structure
- Stability and persistence in plankton models with distributed delays.
- Controlling bifurcation in a delayed fractional predator-prey system with incommensurate orders
- Spatio-temporal patterns in population dynamics
- Stability and bifurcation of a delayed generalized fractional-order prey-predator model with interspecific competition
- Global dynamics of a model for treating microorganisms in sewage by periodically adding microbial flocculants
- The stationary distribution and ergodicity of a stochastic phytoplankton-zooplankton model with toxin-producing phytoplankton under regime switching
- The stationary distribution of a microorganism flocculation model with stochastic perturbation
- Stochastic acceleration in generalized squared Bessel processes
- Stability and Hopf Bifurcation of Fractional-Order Complex-Valued Single Neuron Model with Time Delay
- EFFECTS OF DELAY AND SEASONALITY ON TOXIN PRODUCING PHYTOPLANKTON–ZOOPLANKTON SYSTEM
- Mathematical modelling of plankton-oxygen dynamics under the climate change
