Asymptotic behavior of solutions to two-dimensional chemotaxis system with logistic source and singular sensitivity

DOI10.1016/j.jmaa.2015.11.058zbMath1331.35047OpenAlexW2219465413MaRDI QIDQ905965

Hao Yu, Junhong Cao, Wei Wang

Publication date: 28 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.058

zbMATH Keywords

homogeneous Neumann boundary conditionsparabolic-elliptic systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17)

Related Items (11)

Global asymptotic stability in a parabolic–elliptic chemotaxis system with competitive kinetics and loop ⋮ Global dynamics in a two-species chemotaxis-competition system with two signals ⋮ A new result for global solvability in a singular chemotaxis-growth system with indirect signal production ⋮ Boundedness and asymptotic behavior in a fully parabolic chemotaxis-growth system with signal-dependent sensitivity ⋮ Large time behavior of solutions to a chemotaxis system with singular sensitivity and logistic source ⋮ Boundedness in a logistic chemotaxis system with weakly singular sensitivity in dimension two ⋮ Stabilization in two-species chemotaxis systems with singular sensitivity and Lotka-Volterra competitive kinetics ⋮ Two-species chemotaxis-competition system with singular sensitivity: global existence, boundedness, and persistence ⋮ Unnamed Item ⋮ Boundedness and stability in a chemotaxis-growth model with indirect attractant production and signal-dependent sensitivity ⋮ Chemotaxis systems with singular sensitivity and logistic source: boundedness, persistence, absorbing set, and entire solutions

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