Global boundedness of solutions to a quasilinear parabolic-parabolic Keller-Segel system with logistic source

DOI10.1016/j.aml.2015.08.009zbMath1331.35170OpenAlexW1563825812MaRDI QIDQ900992

Yinle Zhang, Sining Zheng

Publication date: 23 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.aml.2015.08.009

zbMATH Keywords

chemotaxisglobal boundednesslogistic sourcequasilinear Keller-Segel system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (8)

Global boundedness to a chemotaxis system with singular sensitivity and logistic source ⋮ Global boundedness of solutions to a quasilinear parabolic-parabolic Keller-Segel system with variable logistic source ⋮ Dynamics in a parabolic-elliptic chemotaxis system with logistic source involving exponents depending on the spatial variables ⋮ Asymptotic stability in a quasilinear chemotaxis-haptotaxis model with general logistic source and nonlinear signal production ⋮ Boundedness in a quasilinear fully parabolic Keller-Segel system with logistic source ⋮ Boundedness and stability in a chemotaxis-growth model with indirect attractant production and signal-dependent sensitivity ⋮ Boundedness of solutions to a quasilinear parabolic-parabolic chemotaxis model with variable logistic source ⋮ Global boundedness and asymptotic behavior in a two-species chemotaxis-competition system with two signals

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