Spreading speeds of a parabolic-parabolic chemotaxis model with logistic source on \(\mathbb{R}^N\)
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Publication:2676254
DOI10.3934/dcdss.2022074zbMath1501.35073arXiv2107.01551OpenAlexW3181345309MaRDI QIDQ2676254
Publication date: 27 September 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.01551
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Cell movement (chemotaxis, etc.) (92C17) Positive solutions to PDEs (35B09)
Related Items (2)
Finite-time blow-up in the Cauchy problem of a Keller-Segel system with logistic source ⋮ Spreading speed in a fractional attraction-repulsion chemotaxis system with logistic source
Cites Work
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- Global dynamics in a fully parabolic chemotaxis system with logistic source
- Global existence for the Cauchy problem of the parabolic-parabolic Keller-Segel system on the plane
- Persistence of mass in a chemotaxis system with logistic source
- Global existence and asymptotic behavior of classical solutions to a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\)
- Exponential attractor for a chemotaxis-growth system of equations
- Self-similar solutions to a parabolic system modeling chemotaxis
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Spreading speeds and traveling waves for abstract monostable evolution systems
- A user's guide to PDE models for chemotaxis
- Asymptotic spreading in heterogeneous diffusive excitable media
- Nonlinear aspects of chemotaxis
- Multidimensional nonlinear diffusion arising in population genetics
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
- Existence of traveling wave solutions of parabolic-parabolic chemotaxis systems
- A new result for global existence and boundedness of solutions to a parabolic-parabolic Keller-Segel system with logistic source
- Spatial pattern formation in a chemotaxis-diffusion-growth model
- On spreading speeds and traveling waves for growth and migration models in a periodic habitat
- Keller-Segel chemotaxis models: a review
- Persistence and convergence in parabolic-parabolic chemotaxis system with logistic source on \(\mathbb{R}^N\)
- Pointwise persistence in full chemotaxis models with logistic source on bounded heterogeneous environments
- Existence, uniqueness and asymptotic behavior of the solutions to the fully parabolic Keller-Segel system in the plane
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
- Mathematical models for chemotaxis and their applications in self-organisation phenomena
- Can chemotaxis speed up or slow down the spatial spreading in parabolic-elliptic Keller-Segel systems with logistic source?
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Spreading speeds and traveling waves of a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\)
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Boundedness vs. blow-up in a chemotaxis system
- Singularity patterns in a chemotaxis model
- Large time behavior of bounded solutions to a parabolic system of chemotaxis in the whole space
- Existence and asymptotic behaviour for the parabolic–parabolic Keller–Segel system with singular data
- Variational principle for spreading speeds and generalized propagating speeds in time almost periodic and space periodic KPP models
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Parabolic–elliptic chemotaxis model with space–time-dependent logistic sources on ℝN. I. Persistence and asymptotic spreading
- Decay Properties and Asymptotic Profiles of Bounded Solutions to a Parabolic System of Chemotaxis in Rn
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- A Chemotaxis System with Logistic Source
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
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