Boundedness and asymptotic stability in a two-species predator-prey chemotaxis model
From MaRDI portal
Publication:2090344
DOI10.3934/dcdsb.2021218zbMath1500.35045OpenAlexW3203525053WikidataQ113201461 ScholiaQ113201461MaRDI QIDQ2090344
Shuyan Qiu, Yu Ma, Chun-Lai Mu
Publication date: 25 October 2022
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.2021218
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)
Related Items (4)
Global existence and asymptotic behavior of a predator-prey chemotaxis system with inter-species interaction coefficients ⋮ Existence and stability of bifurcating solution of a chemotaxis model ⋮ Improvement of conditions for global boundedness in a predator-prey system with pursuit-evasion interaction ⋮ Global behavior of a two-species predator-prey chemotaxis model with signal-dependent diffusion and sensitivity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Chemotaxis can prevent thresholds on population density
- Global dynamics in a fully parabolic chemotaxis system with logistic source
- Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
- Persistence of mass in a chemotaxis system with logistic source
- 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
- Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Exponential attractor for a chemotaxis-growth system of equations
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Initiation of slime mold aggregation viewed as an instability
- Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- On a fully parabolic chemotaxis system with Lotka-Volterra competitive kinetics
- A new approach toward stabilization in a two-species chemotaxis model with logistic source
- Global existence and asymptotic stability in a predator-prey chemotaxis model
- Global boundedness in a two-species predator-prey chemotaxis model
- Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
- Boundedness and convergence of constant equilibria in a two-species chemotaxis-competition system with loop
- Large time behavior in a predator-prey system with indirect pursuit-evasion interaction
- Boundedness in the higher-dimensional fully parabolic chemotaxis-competition system with loop
- Global dynamics of a two-species chemotaxis-consumption system with signal-dependent motilities
- Competitive exclusion in a two-species chemotaxis model
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
- Emergence of large densities and simultaneous blow-up in a two-species chemotaxis system with competitive kinetics
- 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
- Boundedness vs. blow-up in a chemotaxis system
- Global existence and asymptotic behavior of solutions to a predator-prey chemotaxis system with two chemicals
- 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
- 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
- Finite-time blow-up in a quasilinear system of chemotaxis
- Global solution for a chemotactic–haptotactic model of cancer invasion
- Simultaneous finite time blow-up in a two-species model for chemotaxis
- Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
- On the weakly competitive case in a two-species chemotaxis model
- COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- A Chemotaxis System with Logistic Source
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
This page was built for publication: Boundedness and asymptotic stability in a two-species predator-prey chemotaxis model
