On the strongly competitive case in a fully parabolic two-species chemotaxis system with Lotka-Volterra competitive kinetics
From MaRDI portal
Publication:2689466
DOI10.1016/j.jde.2023.01.008OpenAlexW4317566435MaRDI QIDQ2689466
Xu Pan, Chun-Lai Mu, Wei-Run Tao
Publication date: 10 March 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.01.008
pattern formationLyapunov functionalslarge time behaviorstrong competitionLotka-Volterra dynamicstwo-species chemotaxis model
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
Improvement of conditions for global boundedness in a predator-prey system with pursuit-evasion interaction, Boundedness and asymptotic stability in a predator-prey system with density-dependent motilities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nondegeneracy of blow-up points for the parabolic Keller-Segel system
- Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals
- Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source
- Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
- Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Mathematical biology. Vol. 1: An introduction.
- On a fully parabolic chemotaxis system with Lotka-Volterra competitive kinetics
- How strong a logistic damping can prevent blow-up for the minimal Keller-Segel chemotaxis system?
- Boundedness and asymptotic stability of solutions to a two-species chemotaxis system with consumption of chemoattractant
- A new approach toward stabilization in a two-species chemotaxis model with logistic source
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Global existence and asymptotic behavior in a two-species chemotaxis system with logistic source
- Keller-Segel chemotaxis models: a review
- On a quasilinear fully parabolic two-species chemotaxis system with two chemicals
- Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
- Stabilization in a two dimensional two-species aerotaxis-Navier-Stokes system
- Boundedness and asymptotic stability in a quasilinear two-species chemotaxis system with nonlinear signal production
- Competitive exclusion in a two-species chemotaxis model
- Asymptotic stability of a two species chemotaxis system with non-diffusive chemoattractant
- Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial popu\-lations
- Improvement of conditions for boundedness in a two-species chemotaxis competition system of parabolic-parabolic-elliptic type
- Boundedness in a three-dimensional two-species chemotaxis system with two chemicals
- Global boundedness of solutions to a two-species chemotaxis system
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Boundedness vs. blow-up in a chemotaxis system
- Boundedness in a two-species chemotaxis system with nonlinear sensitivity and signal secretion
- 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
- Random walk with persistence and external bias
- Boundedness and stabilization in a two-species chemotaxis-competition system of parabolic-parabolic-elliptic type
- The one-dimensional chemotaxis model: global existence and asymptotic profile
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Extinction in Competitive Lotka-Volterra Systems
- On the weakly competitive case in a two-species chemotaxis model
- Multi-components chemotactic system in the absence of conflicts
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
- Boundedness in a three‐dimensional two‐species and two‐stimuli chemotaxis system with chemical signalling loop
- Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka–Volterra competitive kinetics
- On a Two Species Chemotaxis Model with Slow Chemical Diffusion
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Boundedness and stabilization in a two-species chemotaxis system with two chemicals
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
