Global boundedness and asymptotic behavior in a chemotaxis system with signal‐dependent motility and indirect signal absorption
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Publication:6198831
DOI10.1002/zamm.202100191MaRDI QIDQ6198831
Publication date: 21 March 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Pattern formation in a model for mountain pine beetle dispersal: linking model predictions to data
- Nondegeneracy of blow-up points for the parabolic Keller-Segel system
- Application of an Adams type inequality to a two-chemical substances chemotaxis system
- Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Global existence and boundedness of a chemotaxis model with indirect production and general kinetic function
- Initiation of slime mold aggregation viewed as an instability
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production
- Boundedness in a chemotaxis system with indirect signal production and generalized logistic source
- A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
- Boundedness in the higher-dimensional quasilinear chemotaxis-growth system with indirect attractant production
- Global existence and asymptotic behavior in a two-species chemotaxis system with logistic source
- Asymptotic stability in a chemotaxis-competition system with indirect signal production
- Boundedness and stabilization in a two-species chemotaxis system with logistic source
- Global boundedness and large time behavior of solutions to a chemotaxis-consumption system with signal-dependent motility
- Boundedness in a chemotaxis system under a critical parameter condition
- A chemotaxis system with signal-dependent motility, indirect signal production and generalized logistic source: global existence and asymptotic stabilization
- Global boundedness of solutions to a chemotaxis-fluid system with singular sensitivity and logistic source
- Global boundedness and large time behavior of a chemotaxis system with indirect signal absorption
- Effects of density-suppressed motility in a two-dimensional chemotaxis model arising from tumor invasion
- Global boundedness in the higher-dimensional chemotaxis system with indirect signal production and rotational flux
- Stationary and non-stationary patterns of the density-suppressed motility model
- Large time behavior in a chemotaxis model with logistic growth and indirect signal production
- Global dynamics for an attraction-repulsion chemotaxis model with logistic source
- Global attractor for a two-dimensional chemotaxis system with linear degradation and indirect signal production
- Analysis of a chemotaxis model with indirect signal absorption
- A quasilinear fully parabolic chemotaxis system with indirect signal production and logistic source
- Stabilization in three-dimensional chemotaxis-growth model with indirect attractant production
- Global Boundedness in a quasilinear fully parabolic chemotaxis system with indirect signal production
- Global bounded and unbounded solutions to a chemotaxis system with indirect signal production
- 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
- Boundedness of classical solutions for a chemotaxis model with consumption of chemoattractant
- Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production
- Predator–prey model with diffusion and indirect prey-taxis
- Stabilization and convergence rate in a chemotaxis system with consumption of chemoattractant
- Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
- Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?
- Global boundedness and asymptotic behavior in a quasilinear attraction–repulsion chemotaxis model with nonlinear signal production and logistic-type source
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
- Pattern formation in bacterial colonies with density-dependent diffusion
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Global classical solvability in a three‐dimensional haptotaxis system modeling oncolytic virotherapy
- Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations
- Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka–Volterra competitive kinetics
- Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- A Chemotaxis System with Logistic Source
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