Boundedness and asymptotic stability in a predator-prey system with density-dependent motilities
From MaRDI portal
Publication:6192459
DOI10.3934/dcdsb.2023173MaRDI QIDQ6192459
Publication date: 11 March 2024
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
stabilizationboundednesselliptic-parabolic systemMoser iterationdensity-dependent diffusionpursuit-evasion interaction
Asymptotic behavior of solutions to PDEs (35B40) Population dynamics (general) (92D25) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reaction-diffusion-advection models for the effects and evolution of dispersal
- Nondegeneracy of blow-up points for the parabolic Keller-Segel system
- Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals
- Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics
- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
- Boundedness and stabilization in a two-species chemotaxis-competition system with signal-dependent diffusion and sensitivity
- Diffusion, self-diffusion and cross-diffusion
- Deriving reaction-diffusion models in ecology from interacting particle systems
- Keller-Segel chemotaxis models: a review
- The Keller-Segel system with logistic growth and signal-dependent motility
- Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities
- On a quasilinear fully parabolic two-species chemotaxis system with two chemicals
- Logistic damping effect in chemotaxis models with density-suppressed motility
- Boundedness and asymptotic stability in a predator-prey chemotaxis system with indirect pursuit-evasion dynamics
- Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
- Global existence for a kinetic model of pattern formation with density-suppressed motilities
- Large time behavior in a predator-prey system with indirect pursuit-evasion interaction
- Global dynamics of a two-species chemotaxis-consumption system with signal-dependent motilities
- Boundedness and asymptotic stability in a quasilinear two-species chemotaxis system with nonlinear signal production
- Competitive exclusion in a two-species chemotaxis model
- Boundedness in a three-dimensional two-species chemotaxis system with two chemicals
- Boundedness vs. blow-up in a chemotaxis system
- Improvement of conditions for boundedness in a fully parabolic chemotaxis system with nonlinear signal production
- On the strongly competitive case in a fully parabolic two-species chemotaxis system with Lotka-Volterra competitive kinetics
- Two-species chemotaxis-competition system with singular sensitivity: global existence, boundedness, and persistence
- Global behavior of a two-species predator-prey chemotaxis model with signal-dependent diffusion and sensitivity
- Stabilization in a two-species chemotaxis system with a logistic source
- Diffusive and nondiffusive population models
- 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
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- LPBounds of solutions of reaction-diffusion equations
- On the weakly competitive case in a two-species chemotaxis model
- Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
- Global existence and asymptotic behavior of classical solutions for a 3D two‐species chemotaxis‐Stokes system with competitive kinetics
- Global well-posedness and stability of constant equilibria in parabolic–elliptic chemotaxis systems without gradient sensing
- Decay to Uniform States in Ecological Interactions
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
- Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
- Boundedness and stabilization in a population model with cross‐diffusion for one species