Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate

DOI10.1016/j.jde.2019.08.050zbMath1439.35496OpenAlexW2971385014MaRDI QIDQ2279549

Yanni Zeng, Kun Zhao

Publication date: 13 December 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.08.050

zbMATH Keywords

parabolic-hyperbolic systemKeller-Segel-Fischer type systemone space dimension chemotaxis system with logarithmic sensitivitytime decay of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)

Related Items (11)

Optimal time-decay estimates in the critical framework for a chemotaxis model ⋮ Asymptotic behavior of solutions to a chemotaxis-logistic model with transitional end-states ⋮ Corrigendum to: ``Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate ⋮ Global and exponential stabilization of morphogenesis models with logarithmic sensitivity and linear degradation ⋮ Lp time asymptotic decay for general hyperbolic–parabolic balance laws with applications ⋮ Convergence to a diffusive contact wave for solutions to a system of hyperbolic balance laws ⋮ Traveling wave solutions of a singular Keller-Segel system with logistic source ⋮ Controlled dynamics of a chemotaxis model with logarithmic sensitivity by physical boundary conditions ⋮ Nonlinear stability of diffusive contact wave for a chemotaxis model ⋮ Asymptotic behaviors and existence of traveling wave solutions to the Keller-Segel model with logarithmic sensitivity ⋮ Global stability under dynamic boundary conditions of a nonlinear PDE model arising from reinforced random walks

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