Boundedness and Stabilization in a Two-Species and Two-Stimuli Chemotaxis System with Signaling Loop

Author:

Wang LiangchenORCID,Ye Xiaobing,Zhang Rong

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference56 articles.

1. Bai, X., Winkler, M.: Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics. Indiana Univ. Math. J. 65, 553–583 (2016)

2. Bellomo, N., Bellouquid, A., Tao, Y., Winkler, M.: Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Math. Models Methods Appl. Sci. 25, 1663–1763 (2015)

3. Black, T.: Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. Discrete Contin. Dyn. Syst., Ser. B 22, 1253–1272 (2017)

4. Black, T., Lankeit, J., Mizukami, M.: On the weakly competitive case in a two-species chemotaxis model. IMA J. Appl. Math. 81, 860–876 (2016)

5. Fujie, K., Ito, A., Winkler, M., Yokota, T.: Stabilization in a chemotaxis model for tumor invasion. Discrete Contin. Dyn. Syst. Ser. 36, 151–169 (2016)

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