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math.AP2024
Global boundedness induced by asymptotically non-degenerate motility in a fully parabolic chemotaxis model with local sensing
Jie Jiang, Philippe Laurençot
A fully parabolic chemotaxis model of Keller-Segel type with local sensing is considered. The system features a signal-dependent asymptotically non-degenerate motility function, wh…
math.AP2024
Suppression of Blowup by Slightly Superlinear Degradation in a Parabolic-Elliptic Keller--Segel System with Signal-dependent Motility
Aijing Lu, Jie Jiang
In this paper, we consider an initial-Neumann boundary value problem for a parabolic-elliptic Keller-Segel system with signal-dependent motility and a source term. Previous researc…
math.AP2024
Prevention of Infinite-time Blowup by Slightly Super-linear Degradation in a Keller--Segel System with Density-suppressed Motility
Yamin Xiao, Jie Jiang
An initial-Neumann boundary value problem for a Keller--Segel system with density-suppressed motility and source terms is considered. Infinite-time blowup of the classical solution…