Boundedness in a predator‐prey system with prey‐taxis and nonlinear gradient‐dependent sensitivity

DOI10.1002/mma.8876zbMath1530.35085MaRDI QIDQ6180833

Yingyuan Mi, Cui Song

Publication date: 2 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

chemotaxisglobal boundednessprey-taxisnonlinear sensitivity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Population dynamics (general) (92D25) A priori estimates in context of PDEs (35B45) General biology and biomathematics (92B05) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)

Cites Work

• Unnamed Item
• Exponential attractor for a chemotaxis-growth system of equations
• Global stability of prey-taxis systems
• Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
• Chemotaxis effect vs. logistic damping on boundedness in the 2-D minimal Keller-Segel model
• Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system
• Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source
• Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
• Boundedness vs. blow-up in a chemotaxis system
• Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis

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