4.7 Article

Global existence and asymptotic behavior in a two-species chemotaxis system with logistic source

Journal

JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 269, Issue 2, Pages 1484-1520

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2020.01.008

Keywords

Chemotaxis; Lotka-Volterra competitive kinetics; Global existence; Asymptotic stability

Categories

Funding

  1. NNSF of China [11971185]

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In this work we consider the two-species chemotaxis system with logistic source. We present the global existence of generalized solutions under appropriate regularity assumptions on the initial data. In addition, the asymptotic behavior of the solutions is studied, and our results generalize and improve some well-known results in the literature. (C) 2020 Elsevier Inc. All rights reserved.

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