Global existence and decay rates of the solutions for a chemotaxis system with Lotka-Volterra type model for chemoattractant and repellent

DOI10.3934/dcds.2021071zbMath1486.35394OpenAlexW3156538343MaRDI QIDQ1983302

Harumi Hattori, Aesha Lagha

Publication date: 10 September 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021071

zbMATH Keywords

Fourier transformenergy methoda priori estimatestime-decay rates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Cell biology (92C37) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Cell movement (chemotaxis, etc.) (92C17)

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