Global solutions in a high-dimensional two-species chemotaxis model with Lotka-Volterra competitive kinetics
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Publication:1659334
DOI10.1016/j.jmaa.2018.07.037zbMath1396.35033OpenAlexW2884115400MaRDI QIDQ1659334
Publication date: 15 August 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.07.037
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Global existence and asymptotic stability of solutions to a two-species chemotaxis system with any chemical diffusion
- Global existence and asymptotic properties of the solution to a two-species chemotaxis system
- Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
- Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics
- Exponential attractor for a chemotaxis-growth system of equations
- Initiation of slime mold aggregation viewed as an instability
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Boundedness and asymptotic stability of solutions to a two-species chemotaxis system with consumption of chemoattractant
- Blowup in higher dimensional two species chemotactic systems
- Competitive exclusion in a two-species chemotaxis model
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
- Asymptotic stability of a two species chemotaxis system with non-diffusive chemoattractant
- Global boundedness of solutions to a two-species chemotaxis system
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Blow-up in a chemotaxis model without symmetry assumptions
- Boundedness in a two-species chemotaxis system
- Stabilization in a two-species chemotaxis system with a logistic source
- Remarks on the blowup and global existence for a two species chemotactic Keller–Segel system in2
- Boundedness and stabilization in a two-species chemotaxis-competition system of parabolic-parabolic-elliptic type
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Simultaneous finite time blow-up in a two-species model for chemotaxis
- Heat kernels and maximal lp—lqestimates for parabolic evolution equations
- On the weakly competitive case in a two-species chemotaxis model
- Global existence and asymptotic behavior of classical solutions for a 3D two‐species chemotaxis‐Stokes system with competitive kinetics
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- On a Two Species Chemotaxis Model with Slow Chemical Diffusion
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
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