Chemotaxis systems with singular sensitivity and logistic source: boundedness, persistence, absorbing set, and entire solutions
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Publication:2096718
DOI10.1016/j.nonrwa.2022.103762zbMath1501.35066arXiv2205.00096OpenAlexW4297120297MaRDI QIDQ2096718
Halil Ibrahim Kurt, Wenxian Shen
Publication date: 11 November 2022
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.00096
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)
Related Items (4)
Finite-time blow-up of solution for a chemotaxis model with singular sensitivity and logistic source ⋮ Global boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity ⋮ Stabilization in two-species chemotaxis systems with singular sensitivity and Lotka-Volterra competitive kinetics ⋮ Two-species chemotaxis-competition system with singular sensitivity: global existence, boundedness, and persistence
Cites Work
- Unnamed Item
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- Boundedness properties of very weak solutions to a fully parabolic chemotaxis-system with logistic source
- Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity
- Boundedness in a fully parabolic chemotaxis system with singular sensitivity
- Persistence of mass in a chemotaxis system with logistic source
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity
- Asymptotic behavior of solutions to two-dimensional chemotaxis system with logistic source and singular sensitivity
- Chemotaxis with logistic source: very weak global solutions and their boundedness properties
- Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
- Global asymptotic stability of steady states in a chemotaxis-growth system with singular sensitivity
- Eventual smoothness and asymptotic behaviour of solutions to a chemotaxis system perturbed by a logistic growth
- Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic-elliptic Keller-Segel systems
- Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity
- Pointwise persistence in full chemotaxis models with logistic source on bounded heterogeneous environments
- Finite-time blow-up in a two-dimensional Keller-Segel system with an environmental dependent logistic source
- Persistence, coexistence and extinction in two species chemotaxis models on bounded heterogeneous environments
- Global boundedness to a chemotaxis system with singular sensitivity and logistic source
- A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data
- Boundedness vs. blow-up in a chemotaxis system
- Chemotaxis and growth system with singular sensitivity function
- Singularity patterns in a chemotaxis model
- Global existence and boundedness of solutions to a chemotaxis system with singular sensitivity and logistic-type source
- Approaching optimality in blow-up results for Keller-Segel systems with logistic-type dampening
- Two-species chemotaxis-competition system with singular sensitivity: global existence, boundedness, and persistence
- A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
- Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity
- Global solutions in a fully parabolic chemotaxis system with singular sensitivity
- Finite-time aggregation into a single point in a reaction - diffusion system
- Finite-Time Blow-Up Prevention by Logistic Source in Parabolic-Elliptic Chemotaxis Models with Singular Sensitivity in Any Dimensional Setting
- Blow‐up in a parabolic–elliptic Keller–Segel system with density‐dependent sublinear sensitivity and logistic source
- Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity
- A Chemotaxis System with Logistic Source
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
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