Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals

DOI10.3934/dcdsb.2017061zbMath1360.35084OpenAlexW2588106489MaRDI QIDQ524080

Tobias Black

Publication date: 25 April 2017

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2017061

zbMATH Keywords

stabilityboundednesslogistic sourceLotka-Volterra competitionMulti-species chemotaxis

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17)

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