Global existence and asymptotic behavior of a predator-prey chemotaxis system with inter-species interaction coefficients
DOI10.1016/j.jde.2023.09.024zbMath1527.35067OpenAlexW4387925080MaRDI QIDQ6065743
S. Gnanasekaran, N. Nithyadevi, C. Udhayashankar
Publication date: 15 November 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.09.024
Asymptotic behavior of solutions to PDEs (35B40) Dynamical systems in biology (37N25) Finite difference methods for boundary value problems involving PDEs (65N06) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Classical solutions to PDEs (35A09)
Cites Work
- Unnamed Item
- 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 boundedness in a two-competing-species chemotaxis system with two chemicals
- Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals
- Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Initiation of slime mold aggregation viewed as an instability
- A diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environment
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Global solutions in a high-dimensional two-species chemotaxis model with Lotka-Volterra competitive kinetics
- Global dynamics in a two-species chemotaxis-competition system with two signals
- 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
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with logistic source
- A new result for boundedness and stabilization in a two-species chemotaxis system with two chemicals
- Asymptotics in a two-species chemotaxis system with logistic source
- Boundedness and asymptotic stability in a two-species predator-prey chemotaxis model
- Large time behavior in a predator-prey system with pursuit-evasion interaction
- Convergence rates of solutions in a predator-prey system with indirect pursuit-evasion interaction in domains of arbitrary dimension
- Boundedness and asymptotic stability in a predator-prey chemotaxis system with indirect pursuit-evasion dynamics
- Boundedness and asymptotic behavior in a predator-prey model with indirect pursuit-evasion interaction
- Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
- Large time behavior in a predator-prey system with indirect pursuit-evasion interaction
- Competitive exclusion in a two-species chemotaxis model
- 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
- Facing low regularity in chemotaxis systems
- Global boundedness of solutions to a two-species chemotaxis system
- Boundedness in a two-species chemotaxis parabolic system with two chemicals
- Boundedness vs. blow-up in a chemotaxis system
- 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
- Heat kernels and maximal lp—lqestimates for parabolic evolution equations
- The diffusive Beddington‐DeAngelis predator‐prey model with nonlinear prey‐taxis and free boundary
- On the weakly competitive case in a two-species chemotaxis model
- Global existence and asymptotic behavior of solutions to a two-species chemotaxis system with two chemicals
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms
- A Chemotaxis System with Logistic Source
- Global existence of solutions to a two-species predator–prey parabolic chemotaxis system
- Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source
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