Boundedness in a quasilinear fully parabolic Keller–Segel system of higher dimension with logistic source

Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model

Michael Winkler · Journal of Differential Equations · 2010 · 1.3K citations

Natural Sciences, Mathematics, Physics +10

Boundedness vs. blow-up in a chemotaxis system

Dirk Horstmann, Michael Winkler · Journal of Differential Equations · 2004 · 1K citations

Natural Sciences, Mathematics, Dynamical Systems +9

From 1970 until present: the Keller-Segel model in chemotaxis and its consequences

Dirk Horstmann · 2003 · 907 citations

Natural Sciences, Biophysics, Biological Systems Modeling +7

Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with subcritical sensitivity

Youshan Tao, Michael Winkler · Journal of Differential Equations · 2011 · 875 citations

Natural Sciences, Mechanical Engineering, Physics +12

On explosions of solutions to a system of partial differential equations modelling chemotaxis

Willi Jäger, Stephan Luckhaus · Transactions of the American Mathematical Society · 1992 · 856 citations · Full text

Natural Sciences, Mathematics, Biological Systems Modeling +15