A new result for global existence and boundedness of solutions to a parabolic-parabolic Keller-Segel system with logistic source

DOI10.1016/j.jmaa.2018.01.064zbMath1393.35087arXiv1712.00906OpenAlexW2964047151MaRDI QIDQ1754563

Xianqiang Yang

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00906

zbMATH Keywords

chemotaxisglobal existencelogistic source

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (36)

Persistence and convergence in parabolic-parabolic chemotaxis system with logistic source on \(\mathbb{R}^N\) ⋮ Existence of generalized solutions to an attraction-repulsion Keller-Segel system with degradation ⋮ A note for global existence of a two-dimensional chemotaxis–haptotaxis model with remodeling of non-diffusible attractant ⋮ Global boundedness of solutions to a chemotaxis-fluid system with singular sensitivity and logistic source ⋮ An optimal result for global existence and boundedness in a three-dimensional Keller-Segel-Stokes system with nonlinear diffusion ⋮ Global boundedness and asymptotic behavior in an attraction-repulsion chemotaxis system with nonlocal terms ⋮ Spreading speeds of a parabolic-parabolic chemotaxis model with logistic source on \(\mathbb{R}^N\) ⋮ Global bounded classical solution for an attraction-repulsion chemotaxis system ⋮ Global asymptotic behavior of solutions for a parabolic-parabolic-ODE chemotaxis system modeling multiple sclerosis ⋮ Pointwise persistence in full chemotaxis models with logistic source on bounded heterogeneous environments ⋮ Global existence of solutions to the chemotaxis system with logistic source under nonlinear Neumann boundary conditions ⋮ Some further progress for boundedness of solutions to a quasilinear higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion ⋮ Large time behavior of solutions to a fully parabolic chemotaxis-haptotaxis model in \(N\) dimensions ⋮ Global and bounded solution to a quasilinear parabolic-elliptic pursuit-evasion system in \(N\)-dimensional domains ⋮ A new (and optimal) result for the boundedness of a solution of a quasilinear chemotaxis-haptotaxis model (with a logistic source) ⋮ Boundedness of solutions for parabolic-elliptic predator-prey chemotaxis-fluid system with logistic source term ⋮ Mathematical Research for Models Which is Related to Chemotaxis System ⋮ Global existence of solutions in some chemotaxis systems with sub-logistic source under nonlinear Neumann boundary conditions in 2d ⋮ Boundedness of solutions to a chemotaxis-haptotaxis model with nonlocal terms ⋮ Existence and boundedness of solutions for a parabolic-elliptic predator-prey chemotaxis system ⋮ Combined effects of nonlinear diffusion and gradient-dependent flux limitation on a chemotaxis-haptotaxis model ⋮ Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion ⋮ A new result for boundedness of solutions to a higher-dimensional quasilinear chemotaxis system with a logistic source ⋮ Global existence and asymptotic behavior of the fractional chemotaxis system with signal-dependent sensitivity ⋮ A new result for boundedness in the quasilinear parabolic-parabolic Keller-Segel model (with logistic source) ⋮ A new result on existence of global bounded classical solution to a attraction-repulsion chemotaxis system with logistic source ⋮ The Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework ⋮ Large time behavior in a fractional chemotaxis-Navier-Stokes system with logistic source ⋮ Global existence, boundedness and asymptotic behavior to a chemotaxis model with singular sensitivity and logistic source ⋮ Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source ⋮ A new result for 2D boundedness of solutions to a chemotaxis–haptotaxis model with/without sub-logistic source ⋮ Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization ⋮ Blow-up prevention by quadratic degradation in a higher-dimensional chemotaxis-growth model with indirect attractant production ⋮ Large time behavior in a predator-prey system with pursuit-evasion interaction ⋮ Blow-up prevention by logistic source an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction ⋮ Existence, uniqueness and \(L^\infty\)-bound for weak solutions of a time fractional Keller-Segel system

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