Qualitative analysis of a parabolic–elliptic attraction–repulsion chemotaxis model with logistic source

DOI10.1142/S1793524516500510zbMath1338.35437OpenAlexW2237843725MaRDI QIDQ2809293

Jianguo Gao, Hai-yan Li

Publication date: 27 May 2016

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524516500510

zbMATH Keywords

chemotaxisglobal existenceattraction-repulsionlogistic source

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (1)

Global boundedness and asymptotic behavior of the solutions to an attraction–repulsion chemotaxis-growth system

Uses Software

• Chemotaxis

Cites Work

• Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source
• On the global existence of solutions to an aggregation model
• Boundedness vs. blow-up in a chemotaxis system
• A PARABOLIC–HYPERBOLIC FREE BOUNDARY PROBLEM MODELLING TUMOR TREATMENT WITH VIRUS
• COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS

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