TURING-HOPF BIFURCATION IN THE REACTION-DIFFUSION SYSTEM WITH DELAY AND APPLICATION TO A DIFFUSIVE PREDATOR-PREY MODEL
From MaRDI portal
Publication:5859392
DOI10.11948/2156-907X.20190015zbMath1461.35035OpenAlexW2947165724MaRDI QIDQ5859392
Heping Jiang, Yongli Song, Yuan Yuan
Publication date: 16 April 2021
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11948/2156-907x.20190015
Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Partial functional-differential equations (35R10) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (43)
Bifurcation phenomena in a single-species reaction-diffusion model with spatiotemporal delay ⋮ Time delay induced Hopf bifurcation in a diffusive predator-prey model with prey toxicity ⋮ Dynamic analysis of a plant-water model with spatial diffusion ⋮ Turing–Hopf Bifurcation in Diffusive Gierer–Meinhardt Model ⋮ Pattern Dynamical Behaviors of One Type of Tree-Grass Model with Cross-Diffusion ⋮ Normal forms of double Hopf bifurcation for a reaction-diffusion system with delay and nonlocal spatial average and applications ⋮ Turing-Hopf bifurcation analysis and normal form of a diffusive Brusselator model with gene expression time delay ⋮ Stability and double-Hopf bifurcations of a Gause-Kolmogorov-type predator-prey system with indirect prey-taxis ⋮ Stability of a fear effect predator–prey model with mutual interference or group defense ⋮ Spatio-temporal dynamics of a reaction-diffusion equation with the nonlocal spatial average and delay ⋮ The diffusion-driven instability for a general time-space discrete host-parasitoid model ⋮ Stability analysis of nonlinear glue flow system with delay ⋮ Hopf and Turing-Hopf bifurcation analysis of a delayed predator-prey model with schooling behavior ⋮ Turing-Hopf bifurcation co-induced by cross-diffusion and delay in Schnakenberg system ⋮ Global dynamics of a stochastic reaction–diffusion predator–prey system with space-time white noise ⋮ Bifurcations and pattern formation in a predator-prey model with memory-based diffusion ⋮ Resonant double Hopf bifurcation in a diffusive Ginzburg-Landau model with delayed feedback ⋮ Turing‐Turing and Turing‐Hopf bifurcations in a general diffusive Brusselator model ⋮ Turing–Hopf bifurcation of a diffusive Holling–Tanner model with nonlocal effect and digestion time delay ⋮ Pattern dynamics analysis of a time-space discrete FitzHugh-Nagumo (FHN) model based on coupled map lattices ⋮ The Steady State Bifurcation for General Network-Organized Reaction-Diffusion Systems and Its Application in a Metapopulation Epidemic Model ⋮ Hopf bifurcation analysis of a predator-prey model with prey refuge and fear effect under non-diffusion and diffusion ⋮ Dynamic analysis of a diffusive predator-prey model with hunting cooperation functional response and prey-taxis ⋮ Dynamics of a harvested predator-prey model with predator-taxis ⋮ Stability and bifurcation analysis in a diffusive predator–prey model with delay and spatial average ⋮ Turing-Hopf bifurcation of reaction-diffusion neural networks with leakage delay ⋮ Pattern dynamics of nonlocal delay SI epidemic model with the growth of the susceptible following logistic mode ⋮ Double Hopf bifurcation in nonlocal reaction-diffusion systems with spatial average kernel ⋮ Stability and Turing Patterns in a Predator–Prey Model with Hunting Cooperation and Allee Effect in Prey Population ⋮ Spatiotemporal dynamics of a diffusive predator-prey model with nonlocal effect and delay ⋮ Unnamed Item ⋮ The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system ⋮ Stability and cross-diffusion-driven instability in a diffusive predator-prey system with hunting cooperation functional response ⋮ Memory-based movement with spatiotemporal distributed delays in diffusion and reaction ⋮ Hopf-Hopf bifurcation in the delayed nutrient-microorganism model ⋮ Stationary distribution and extinction of a stochastic model of syphilis transmission in an MSM population with telegraph noises ⋮ Stability and spatiotemporal dynamics of a diffusive predator-prey system with generalist predator and nonlocal intraspecific competition ⋮ Spatiotemporal dynamics in the single population model with memory-based diffusion and nonlocal effect ⋮ Dynamics and strategies evaluations of a novel reaction-diffusion COVID-19 model with direct and aerosol transmission ⋮ SPATIOTEMPORAL DYNAMICS IN A PREDATOR-PREY MODEL WITH A FUNCTIONAL RESPONSE INCREASING IN BOTH PREDATOR AND PREY DENSITIES ⋮ Bifurcation dynamics of a delayed chemostat system with spatial diffusion ⋮ Diffusion-induced spatio-temporal oscillations in an epidemic model with two delays ⋮ Modeling the Allee effect and fear effect in predator-prey system incorporating a prey refuge
Cites Work
- Unnamed Item
- Unnamed Item
- Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition
- Spatial resonance and Turing-Hopf bifurcations in the Gierer-Meinhardt model
- Bogdanov-Takens singularity for a system of reaction-diffusion equations
- Hopf bifurcation in a reaction-diffusion model with Degn-Harrison reaction scheme
- Bifurcations of patterned solutions in the diffusive Lengyel-Epstein system of CIMA chemical reactions
- A delayed predator-prey model with strong Allee effect in prey population growth
- Multiple limit cycles in a Gause type predator-prey model with Holling type III functional response and Allee effect on prey
- Spatially nonhomogeneous equilibrium in a reaction-diffusion system with distributed delay
- Predator-prey system with strong Allee effect in prey
- Turing instability and pattern induced by cross-diffusion in a predator-prey system with Allee effect
- Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems
- Hopf bifurcation analysis in the 1-D Lengyel-Epstein reaction-diffusion model
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- Hopf bifurcations in a reaction-diffusion population model with delay effect
- Normal solvability of linear elliptic problems
- Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator-prey model with herd behavior
- Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect
- Turing patterns in a diffusive epidemic model with saturated infection force
- Stability and Hopf bifurcation for a population delay model with diffusion effects
- Spatio-temporal dynamics near the steady state of a planktonic system
- Hopf bifurcation and global stability of a diffusive Gause-type predator-prey models
- Turing-Hopf bifurcation in the reaction-diffusion equations and its applications
- Stability and spatiotemporal dynamics in a diffusive predator-prey model with nonlocal prey competition
- Pattern formation in a ratio-dependent predator-prey model with cross-diffusion
- Stability and bifurcation in a reaction-diffusion model with nonlocal delay effect
- Hopf bifurcation in a reaction-diffusion equation with distributed delay and Dirichlet boundary condition
- Stability and bifurcation on predator-prey systems with nonlocal prey competition
- Interaction of diffusion and delay
- On Mode Interactions in Reaction Diffusion Equation with Nearly Degenerate Bifurcations
- GLOBAL STABILITY AND HOPF BIFURCATION IN A DELAYED DIFFUSIVE LESLIE–GOWER PREDATOR–PREY SYSTEM
- Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation
- Spatial, temporal and spatiotemporal patterns of diffusive predator–prey models with mutual interference
- Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near Turing-Hopf Bifurcation
- The chemical basis of morphogenesis
- Bifurcation and Asymptotic Behavior of Solutions of a Delay-Differential Equation with Diffusion
- Stability and Hopf bifurcation analysis for Nicholson's blowflies equation with non-local delay
- STEADY-STATE, HOPF AND STEADY-STATE-HOPF BIFURCATIONS IN DELAY DIFFERENTIAL EQUATIONS WITH APPLICATIONS TO A DAMPED HARMONIC OSCILLATOR WITH DELAY FEEDBACK
- Normal forms and Hopf bifurcation for partial differential equations with delays
- Bogdanov–Takens Bifurcation of a Class of Delayed Reaction–Diffusion System
- Transient oscillatory patterns in the diffusive non-local blowfly equation with delay under the zero-flux boundary condition
- Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
- Traveling wave fronts of reaction-diffusion systems with delay
This page was built for publication: TURING-HOPF BIFURCATION IN THE REACTION-DIFFUSION SYSTEM WITH DELAY AND APPLICATION TO A DIFFUSIVE PREDATOR-PREY MODEL
