Global boundedness in a two-species predator-prey chemotaxis model

DOI10.1016/j.aml.2020.106639zbMath1450.35087OpenAlexW3044868774WikidataQ114683025 ScholiaQ114683025MaRDI QIDQ2006338

Liangying Miao, He Yang, Shengmao Fu

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106639

zbMATH Keywords

global existenceuniform boundedness of \(L^2\)-norm for prey and predator densitiesuniform boundedness of \(L^4\)-norm for the signal gradient

Mathematics Subject Classification ID

Population dynamics (general) (92D25) A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (10)

Boundedness and asymptotic stability in a predator-prey chemotaxis system with indirect pursuit-evasion dynamics ⋮ Global Existence and Asymptotic Behavior in a Predator-Prey-Mutualist Model with Prey-Taxis ⋮ Global existence and asymptotic behavior of a predator-prey chemotaxis system with inter-species interaction coefficients ⋮ On a two-species chemotaxis system with indirect signal production and general competition terms ⋮ 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 ⋮ Unnamed Item ⋮ Boundedness and asymptotic stability in a two-species predator-prey chemotaxis model ⋮ Global existence of solutions to a two-species predator–prey parabolic chemotaxis system

Cites Work

• Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source
• On a fully parabolic chemotaxis system with Lotka-Volterra competitive kinetics
• Global solutions in a high-dimensional two-species chemotaxis model with Lotka-Volterra competitive kinetics
• Global existence and asymptotic stability in a predator-prey chemotaxis model
• Stabilization in a two-species chemotaxis system with a logistic source
• Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
• Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source

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