Bifurcations in the diffusive Bazykin model
From MaRDI portal
Publication:2124517
DOI10.1016/j.jde.2022.03.039zbMath1486.35036OpenAlexW4226454798MaRDI QIDQ2124517
Chuang Xiang, Hao Wang, Min Lu, Ji-Cai Huang
Publication date: 11 April 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.03.039
regime shiftsTuring instabilityTuring-Hopf bifurcationcritical transitionstipping pointsTuring-Turing bifurcationdiffusive Bazykin modelTuring-Turing-Hopf bifurcation
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spatial resonance and Turing-Hopf bifurcations in the Gierer-Meinhardt model
- Bifurcations of patterned solutions in the diffusive Lengyel-Epstein system of CIMA chemical reactions
- A detailed study of the Beddington-DeAngelis predator-prey model
- Existence of complex patterns in the Beddington-DeAngelis predator-prey model
- Bifurcation and spatiotemporal patterns in a Bazykin predator-prey model with self and cross diffusion and Beddington-DeAngelis response
- Center manifolds theorem for parameterized delay differential equations with applications to zero singularities
- Spatiotemporal pattern formation and multiple bifurcations in a diffusive bimolecular model
- Ratio-dependent predator-prey models of interacting populations
- Uniqueness and stability of positive steady state solutions for a ratio-dependent predator-prey system with a crowding term in the prey equation
- Global bifurcation analysis and pattern formation in homogeneous diffusive predator-prey systems
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Theory of functional differential equations. 2nd ed
- Stability analysis of a predator-prey system with mutual interference and density-dependent death rates
- Limiting behaviour for a prey-predator model with diffusion and crowding effects
- Turing-Hopf bifurcation and spatiotemporal patterns in a diffusive predator-prey system with Crowley-Martin functional response
- Theory and applications of partial functional differential equations
- A diffusive predator-prey model in heterogeneous environment
- Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion
- Spatiotemporal patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme
- Global dynamics of a predator-prey system with density-dependent mortality and ratio-dependent functional response
- Spatio-temporal Bazykin's model with space-time nonlocality
- Turing instability and pattern formations for reaction-diffusion systems on 2D bounded domain
- Turing-Hopf bifurcation in the reaction-diffusion equations and its applications
- Long-time behavior of a diffusive prey-predator system with Beddington-DeAngelis functional response in heterogeneous environment
- Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations
- Spatiotemporal mutualistic model of mistletoes and birds
- Positive solutions of a diffusive Leslie-Gower predator-prey model with Bazykin functional response
- Dynamics of a predator-prey model with non-monotonic response
- Global analysis in Bazykin's model with Holling II functional response and predator competition
- Qualitative behaviour of positive solutions of a predator—prey model: effects of saturation
- Approximated Spiral and Target Patterns in Bazykin’s Prey–Predator Model: Multiscale Perturbation Analysis
- Allee effect and bistability in a spatially heterogeneous predator-prey model
- Spatial, temporal and spatiotemporal patterns of diffusive predator–prey models with mutual interference
- Convergence to Homogeneous Equilibrium State for Generalized Volterra–Lotka Systems with Diffusion
- Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
- Multiparameter Bifurcation of a Predator-Prey System
- The chemical basis of morphogenesis
- Decay to Uniform States in Ecological Interactions
- Smoothness of Center Manifolds for Maps and Formal Adjoints for Semilinear FDEs in General Banach Spaces
- Normal forms and Hopf bifurcation for partial differential equations with delays
- Bifurcation analysis of the Gierer–Meinhardt system with a saturation in the activator production
- Uniqueness and stability of steady states for a predator-prey model in heterogeneous environment
- Transient oscillatory patterns in the diffusive non-local blowfly equation with delay under the zero-flux boundary condition
- INTERACTIONS OF TURING AND HOPF BIFURCATIONS IN AN ADDITIONAL FOOD PROVIDED DIFFUSIVE PREDATOR-PREY MODEL
- Elements of applied bifurcation theory
This page was built for publication: Bifurcations in the diffusive Bazykin model
