Hopf-Hopf bifurcation in the delayed nutrient-microorganism model
From MaRDI portal
Publication:2049774
DOI10.1016/j.apm.2020.05.024zbMath1481.92100OpenAlexW3033375500MaRDI QIDQ2049774
Biao Liu, Mengxin Chen, Ran Chao Wu, Li-Ping Chen
Publication date: 27 August 2021
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2020.05.024
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (8)
Co-dimension two bifurcations analysis of a delayed tumor model with Allee effect ⋮ Dynamics of diffusive nutrient-microorganism model with spatially heterogeneous environment ⋮ Spatial dynamics of a fractional predator-prey system with time delay and Allee effect ⋮ Stability analysis of nonlinear glue flow system with delay ⋮ Stability switches and chaos induced by delay in a reaction-diffusion nutrient-plankton model ⋮ Hopf bifurcation in delayed nutrient-microorganism model with network structure ⋮ Equivalence of MTS and CMR methods associated with the normal form of Hopf bifurcation for delayed reaction-diffusion equations ⋮ Steady state bifurcation of a population model with chemotaxis
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hopf bifurcation in delayed van der Pol oscillators
- Hopf bifurcation analysis on general Gause-type predator-prey models with delay
- The effect of time delay in a two-patch model with random dispersal
- Dynamics for a class of nonlinear systems with time delay
- Spatially nonhomogeneous equilibrium in a reaction-diffusion system with distributed delay
- Normal forms of non-resonance and weak resonance double Hopf bifurcation in the retarded functional differential equations and applications
- Bifurcation analysis in a recurrent neural network model with delays
- Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction
- Global dynamics of delayed reaction-diffusion equations in unbounded domains
- Double Hopf bifurcation of differential equation with linearly state-dependent delays via MMS
- Weak and non-resonant double Hopf bifurcations in \(m\) coupled van der Pol oscillators with delay coupling
- Spatiotemporal dynamics in a ratio-dependent predator-prey model with time delay near the Turing-Hopf bifurcation point
- Patterns and dynamics in the diffusive model of a nutrient-microorganism system in the sediment
- Double Hopf bifurcation in delayed reaction-diffusion systems
- Multiple scales analysis for double Hopf bifurcation with 1:3~resonance
- Double Hopf bifurcation in a container crane model with delayed position feedback
- Hopf bifurcation and global periodic solutions in a delayed predator -- prey system
- DOUBLE HOPF BIFURCATION IN DELAYED VAN DER POL–DUFFING EQUATION
- MULTIPLE BIFURCATIONS IN A PREDATOR–PREY SYSTEM OF HOLLING AND LESLIE TYPE WITH CONSTANT-YIELD PREY HARVESTING
- Stability and Hopf bifurcation analysis for a Lotka-Volterra predator-prey model with two delays
- Two delays induce Hopf bifurcation and double Hopf bifurcation in a diffusive Leslie-Gower predator-prey system
- Multiple Bifurcation Analysis in a Diffusive Eco-Epidemiological Model with Time Delay
- On the analysis of the double Hopf bifurcation in machining processes via centre manifold reduction
- An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks
- Delayed Reaction Kinetics and the Stability of Spikes in the Gierer--Meinhardt Model
- Pattern Formation and Synchronism in an Allelopathic Plankton Model with Delay in a Network
- Nonresonant Double Hopf Bifurcation in Toxic Phytoplankton–Zooplankton Model with Delay
- TURING-HOPF BIFURCATION IN THE REACTION-DIFFUSION SYSTEM WITH DELAY AND APPLICATION TO A DIFFUSIVE PREDATOR-PREY MODEL
This page was built for publication: Hopf-Hopf bifurcation in the delayed nutrient-microorganism model
