4.6 Article

WAVES FOR A HYPERBOLIC KELLER-SEGEL MODEL AND BRANCHING INSTABILITIES

Related references

Note: Only part of the references are listed.
Article Mathematics, Applied

Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions

Martin Burger et al.

Communications in Mathematical Sciences (2013)

Article Mathematics, Applied

Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source

Michael Winkler

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2010)

Article Mathematics, Applied

A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE

Bertrand Maury et al.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2010)

Article Mathematical & Computational Biology

Models of Self-Organizing Bacterial Communities and Comparisons with Experimental Observations

A. Marrocco et al.

MATHEMATICAL MODELLING OF NATURAL PHENOMENA (2010)

Article Biology

A user's guide to PDE models for chemotaxis

T. Hillen et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2009)

Article Mathematics, Applied

NONLINEAR STABILITY OF TRAVELING WAVES TO A HYPERBOLIC-PARABOLIC SYSTEM MODELING CHEMOTAXIS

Tong Li et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2009)

Article Physics, Multidisciplinary

Concentration dependence of the collective dynamics of swimming bacteria

Andrey Sokolov et al.

PHYSICAL REVIEW LETTERS (2007)

Article Mathematics, Applied

A classification of spikes and plateaus

Thomas Hillen

SIAM REVIEW (2007)

Article Mathematics, Applied

The Keller-Segel model for chemotaxis with prevention of overcrowding: Linear vs. nonlinear diffusion

Martin Burger et al.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2006)

Article Mathematics, Applied

The Keller-Segel model with logistic sensitivity function and small diffusivity

Y Dolak et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2005)

Article Physics, Multidisciplinary

Reaction-diffusion modelling of bacterial colony patterns

M Mimura et al.

PHYSICA A (2000)