Global Boundedness in a quasilinear fully parabolic chemotaxis system with indirect signal production

DOI10.3934/dcdsb.2018328zbMath1429.35039OpenAlexW2908990847WikidataQ128419603 ScholiaQ128419603MaRDI QIDQ2321123

Mengyao Ding, Wei Wang

Publication date: 28 August 2019

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.2018328

zbMATH Keywords

indirect signal productionfully parabolic chemotaxis systemglobal boundedness of solutionsthree parabolic equationsquasilinear attraction-repulsion chemotaxis model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) 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 (28)

Global existence of a quasilinear chemotaxis model with signal-dependent motility and indirect signal production mechanism ⋮ On an exponentially decaying diffusive chemotaxis system with indirect signals ⋮ Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with indirect signal production ⋮ Boundedness and large-time behavior for a two-dimensional quasilinear chemotaxis-growth system with indirect signal consumption ⋮ On a three-dimensional quasilinear Keller-Segel-Stokes system with indirect signal production ⋮ On a two-species chemotaxis system with indirect signal production and general competition terms ⋮ Global boundedness in a 3D quasilinear Keller-Segel-Stokes system with nonlinear sensitivity and indirect signal production ⋮ Boundedness and weak stabilization in a degenerate chemotaxis model arising from tumor invasion ⋮ Boundedness in a three-component quasilinear chemotaxis system on alopecia areata ⋮ Boundedness in a chemotaxis-fluid system involving a gradient-dependent flux limitation and indirect signal production mechanism ⋮ Nonlinear transmission exponent for boundedness of solutions to a chemotaxis system with indirect signal production ⋮ Global dynamics in a chemotaxis system involving nonlinear indirect signal secretion and logistic source ⋮ Global boundedness for a chemotaxis system involving nonlinear indirect consumption mechanism ⋮ Global boundedness and asymptotic behavior in a chemotaxis system with signal‐dependent motility and indirect signal absorption ⋮ Blow-up prevention by logistic source in an \(N\)-D chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis ⋮ Unnamed Item ⋮ A quasilinear predator-prey model with indirect prey-taxis ⋮ Asymptotic stability in a chemotaxis-competition system with indirect signal production ⋮ On a fully parabolic singular chemotaxis-(growth) system with indirect signal production or consumption ⋮ Unnamed Item ⋮ Boundedness in a three-dimensional two-species chemotaxis system with two chemicals ⋮ Global boundedness of weak solutions for a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and rotation ⋮ Boundedness in a quasilinear chemotaxis model with logistic growth and indirect signal production ⋮ A quasilinear fully parabolic chemotaxis system with indirect signal production and logistic source ⋮ Boundedness and long-time behavior for a two-dimensional quasilinear chemotaxis system with indirect signal consumption ⋮ Global solvability in a Keller-Segel-growth system with indirect signal production ⋮ Emergence of lager densities in chemotaxis system with indirect signal production and non-radial symmetry case ⋮ On a two-species chemotaxis-competition system with indirect signal consumption

This page was built for publication: Global Boundedness in a quasilinear fully parabolic chemotaxis system with indirect signal production