Asymptotics in a two-species chemotaxis system with logistic source
DOI10.3934/dcdsb.2020288zbMath1466.35051OpenAlexW3091807301MaRDI QIDQ2033791
Publication date: 17 June 2021
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2020288
homogeneous Neumann boundary conditionscompetitive kineticsfully parabolic two-species chemotaxis system
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals
- Initiation of slime mold aggregation viewed as an instability
- Boundedness, blowup and critical mass phenomenon in competing chemotaxis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Convergence and ultimate bounds of solutions of the nonautonomous Volterra-Lotka competition equations
- Competitive exclusion in a two-species chemotaxis model
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
- A note on Aubin-Lions-Dubinskiĭ lemmas
- Global boundedness of solutions to a two-species chemotaxis system
- Boundedness in a quasilinear fully parabolic Keller-Segel system of higher dimension with logistic source
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity
- Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
- Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Convergence rate estimates of solutions in a higher dimensional chemotaxis system with logistic source
- Blow-up in a chemotaxis model without symmetry assumptions
- Stabilization in a two-species chemotaxis system with a logistic source
- Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Extinction in Competitive Lotka-Volterra Systems
- 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
This page was built for publication: Asymptotics in a two-species chemotaxis system with logistic source