Asymptotic dynamics of the one-dimensional attraction-repulsion Keller-Segel model

COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS

(2012) YOUSHAN TAO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Cross Diffusion Preventing Blow-Up in the Two-Dimensional Keller–Segel Model

(2011) Sabine Hittmeir et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Classical solutions and steady states of an attraction–repulsion chemotaxis in one dimension

(2011) Jia Liu et al.   Journal of Biological Dynamics

A note on fractional derivatives and fractional powers of operators

(2009) A. Ashyralyev   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Prevention of blow-up by fast diffusion in chemotaxis

(2009) Yung-Sze Choi et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A user’s guide to PDE models for chemotaxis

(2008) T. Hillen et al.   JOURNAL OF MATHEMATICAL BIOLOGY