Global boundedness and asymptotic stabilization in a chemotaxis system with density-suppressed motility and nonlinear signal production

Parabolic equations and parabolic systems (35Kxx) Qualitative properties of solutions to partial differential equations (35Bxx) Physiological, cellular and medical topics (92Cxx)

Cites Work

Boundedness of solutions to a quasilinear parabolic-parabolic Keller-Segel system with a logistic source
Global bounded solutions in a two-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity
Application of an Adams type inequality to a two-chemical substances chemotaxis system
Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
Initiation of slime mold aggregation viewed as an instability
Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension
Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
How strong a logistic damping can prevent blow-up for the minimal Keller-Segel chemotaxis system?
Boundedness in a fully parabolic chemotaxis system with logistic-type source and nonlinear production
Boundedness and stabilization in a two-species chemotaxis-competition system with signal-dependent diffusion and sensitivity
Global boundedness and stability in a density-suppressed motility model with generalized logistic source and nonlinear signal production
A chemotaxis system with signal-dependent motility, indirect signal production and generalized logistic source: global existence and asymptotic stabilization
Boundedness and asymptotics of a reaction-diffusion system with density-dependent motility
Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
Asymptotic stability in a fully parabolic quasilinear chemotaxis model with general logistic source and signal production
Stabilization in a higher-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity
Boundedness in a chemotaxis system with nonlinear signal production
Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity
Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
Large time behavior of solutions for density-suppressed motility system in higher dimensions
Global existence and uniform boundedness in a fully parabolic Keller-Segel system with non-monotonic signal-dependent motility
Critical mass in a quasilinear parabolic-elliptic Keller-Segel model
Global existence and slow grow-up in a quasilinear Keller–Segel system with exponentially decaying diffusivity
Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
Does a ‘volume-filling effect’ always prevent chemotactic collapse?
Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
A critical blow-up exponent in a chemotaxis system with nonlinear signal production
Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
An n-dimensional chemotaxis system with signal-dependent motility and generalized logistic source: global existence and asymptotic stabilization
Strong damping effect of chemo-repulsion prevents blow-up
Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller–Segel type systems involving signal-dependent motilities?
Dynamics in a Quasilinear Parabolic-Elliptic Keller-Segel System with Generalized Logistic Source and Nonlinear Secretion
A family of mass‐critical Keller–Segel systems

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