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Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
 

Volume 18,Number 10,     December 2013

Special issue on Chemotaxis

1

Preface    Pages : i - ii

Thomas Hillen and Michael Winkler

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2

Trudinger-Moser type inequality for radially symmetric functions in a ring and applications to Keller-Segel in a ring    Pages : 2505 - 2512

Tomasz CieĊ›lak

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3

Merging-emerging systems can describe spatio-temporal patterning in a chemotaxis model    Pages : 2513 - 2536

Thomas Hillen,  Jeffery Zielinski and Kevin J. Painter

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4

Gradient estimate for solutions to quasilinear non-degenerate Keller-Segel systems on $\mathbb{R}^N$    Pages : 2537 - 2568

Sachiko Ishida,  Yusuke Maeda and Tomomi Yokota

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5

Blow-up in finite or infinite time for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type    Pages : 2569 - 2596

Sachiko Ishida and Tomomi Yokota

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6

Pattern formation of the attraction-repulsion Keller-Segel system    Pages : 2597 - 2625

Ping Liu,  Junping Shi and Zhi-An Wang

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7

Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation    Pages : 2627 - 2646

Etsushi Nakaguchi and Koichi Osaki

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8

Well-posedness for a model of individual clustering    Pages : 2647 - 2668

Elissar Nasreddine

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9

On a comparison method to reaction-diffusion systems and its applications to chemotaxis    Pages : 2669 - 2688

Mihaela Negreanu and J. Ignacio Tello

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10

Numerical simulation of chemotaxis models on stationary surfaces    Pages : 2689 - 2704

Andriy Sokolov,  Robert Strehl and Stefan Turek

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11

Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity    Pages : 2705 - 2722

Youshan Tao

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