391 citations · 668 across the 36 of their papers we have counts for
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Phenotype switching in chemotaxis aggregation models controls the spontaneous emergence of large densities
Kevin J Painter, Michael Winkler
We consider a phenotype-switching chemotaxis model for aggregation, in which a chemotactic population is capable of switching back and forth between a chemotaxing state (performing…
A quantitative strong parabolic maximum principle and application to a taxis-type migration-consumption model involving signal-dependent degenerate diffusion
Michael Winkler
The taxis-type migration-consumption model accounting for signal-dependent motilities, as given by \[ u_t = Δ\big(uϕ(v)\big), v_t = Δv-uv, \qquad (*) \] is considered for suitably…
Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities
Genglin Li, Michael Winkler
We consider the Keller-Segel-type migration-consumption system involving signal-dependent motilities, $$\left\{ \begin{array}{l} u_t = Δ\big(uϕ(v)\big), \\[1mm] v_t = Δv-uv, \end{a…
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities
Genglin Li, Michael Winkler
Two relaxation features of the migration-consumption chemotaxis system involving signal-dependent motilities, $$ \left\{ \begin{array}{l} u_t = Δ\big(uϕ(v)\big), \\[1mm] v_t = Δv-u…
Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing
Laurent Desvillettes, Philippe Laurençot, Ariane Trescases +1
New estimates and global existence results are provided for a class of systems of cross diffusion equations arising from the modeling of chemotaxis with local sensing, possibly fea…