Dynamical transition for a two-species chemotaxis system with two signals

Stability in context of PDEs (35B35) Estimates of eigenvalues in context of PDEs (35P15) Bifurcations in context of PDEs (35B32) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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Global existence and asymptotic stability of solutions to a two-species chemotaxis system with any chemical diffusion
Pattern formation of the attraction-repulsion Keller-Segel system
Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species
Boundedness of the attraction-repulsion Keller-Segel system
Dynamic transition and pattern formation for chemotactic systems
Pattern formation in a cross-diffusion system
Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals
Global boundedness in a two-competing-species chemotaxis system with two chemicals
Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals
Bifurcation of hexagonal patterns in a chemotaxis-diffusion-growth system
Dynamic bifurcation and stability in the Rayleigh-Bénard convection
Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis
Initiation of slime mold aggregation viewed as an instability
Attractor bifurcation theory and its applications to Rayleigh-Bénard convection
On a limiting system in the Lotka-Volterra competition with cross-diffusion.
On the global existence of a cross-diffusion system
Global dynamics in a two-species chemotaxis-competition system with two signals
How strong a logistic damping can prevent blow-up for the minimal Keller-Segel chemotaxis system?
Boundedness and asymptotic stability of solutions to a two-species chemotaxis system with consumption of chemoattractant
Diffusion, self-diffusion and cross-diffusion
Asymptotic behavior and global existence of solutions to a two-species chemotaxis system with two chemicals
Transition of patterns in the cell-chemotaxis system with proliferation source
Global dynamics of a three-species spatial food chain model
Dynamic transitions for the S-K-T competition system
Boundedness and convergence of constant equilibria in a two-species chemotaxis-competition system with loop
On boundedness, blow-up and convergence in a two-species and two-stimuli chemotaxis system with/without loop
\(S^1\) attractor bifurcation analysis for an electrically conducting fluid flow between two rotating cylinders
Global dynamics of a tumor invasion model with/without logistic source
Global boundedness and asymptotic behavior in a two-species chemotaxis-competition system with two signals
Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
Convergence rate estimates of a two-species chemotaxis system with two indirect signal production and logistic source in three dimensions
Rayleigh-Bénard convection: dynamics and structure in the physical space
Boundedness vs. blow-up in a chemotaxis system
Stability and bifurcation of the Taylor problem
Pattern formation for a two-dimensional reaction-diffusion model with chemotaxis
Approaching optimality in blow-up results for Keller-Segel systems with logistic-type dampening
Phase Transition Dynamics
Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
Dynamical transition for S‐K‐T biological competing model with cross‐diffusion
Global existence and asymptotic behavior of solutions to a two-species chemotaxis system with two chemicals
COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
On a two-species chemotaxis system with indirect signal production and general competition terms
Phase Transition Dynamics
Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
Pattern Formation and Transition to Chaos in a Chemotaxis Model of Acute Inflammation
Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
Combining effects ensuring boundedness in an attraction-repulsion chemotaxis model with production and consumption
Global Solvability and Stability of an Alarm-Taxis System
Vanishing-spreading dichotomy in a two-species chemotaxis competition system with a free boundary
Dynamical transition and chaos for a five‐dimensional Lorenz model
Global existence, boundedness and asymptotic behavior of classical solutions to a fully parabolic two-species chemotaxis-competition model with singular sensitivity

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