Pattern formation of the attraction-repulsion Keller-Segel system

Spiky and transition layer steady states of chemotaxis systems via global bifurcation and Helly’s compactness theorem

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COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS

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

Dynamics and pattern formation in a diffusive predator–prey system with strong Allee effect in prey

(2011) Jinfeng Wang et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Travelling plateaus for a hyperbolic Keller–Segel system with attraction and repulsion: existence and branching instabilities

(2011) Benoît Perthame et al.   NONLINEARITY

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

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

MULTIPLE BIFURCATION ANALYSIS AND SPATIOTEMPORAL PATTERNS IN A 1-D GIERER–MEINHARDT MODEL OF MORPHOGENESIS

(2010) JIANXIN LIU et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Generalizing the Keller–Segel Model: Lyapunov Functionals, Steady State Analysis, and Blow-Up Results for Multi-species Chemotaxis Models in the Presence of Attraction and Repulsion Between Competitive Interacting Species

(2010) Dirk Horstmann   JOURNAL OF NONLINEAR SCIENCE

On global bifurcation for quasilinear elliptic systems on bounded domains

(2008) Junping Shi et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator–prey system

(2008) Fengqi Yi et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

A user’s guide to PDE models for chemotaxis

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

Reverse leukocyte migration can be attractive or repulsive

(2008) Anna Huttenlocher et al.   TRENDS IN CELL BIOLOGY