Global existence and boundedness in a chemotaxis-haptotaxis system with signal-dependent sensitivity

DOI10.1016/j.jmaa.2018.04.002OpenAlexW2795688192WikidataQ130022773 ScholiaQ130022773MaRDI QIDQ1748313

Tomomi Yokota, Hirohiko Otsuka, Masaaki Mizukami

Publication date: 9 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.002

zbMATH Keywords

boundednessglobal existencechemotaxis-haptotaxissignal-dependent sensitivity

Mathematics Subject Classification ID

Partial differential equations (35-XX) Several complex variables and analytic spaces (32-XX)

Related Items (3)

Global existence and boundedness in a fully parabolic attraction-repulsion chemotaxis system with signal-dependent sensitivities and logistic source ⋮ Boundedness of solutions for a quasilinear chemotaxis-haptotaxis model ⋮ Optimal control for a chemotaxis-haptotaxis model in two space dimensions

Cites Work

• Boundedness in a three-dimensional chemotaxis-haptotaxis model
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• Exponential attractor for a chemotaxis-growth system of equations
• Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
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• Boundedness and stabilization in a multi-dimensional chemotaxis—haptotaxis model
• A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up
• Global solutions in a fully parabolic chemotaxis system with singular sensitivity
• A unified method for boundedness in fully parabolic chemotaxis systems with signal‐dependent sensitivity
• Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
• Dominance of chemotaxis in a chemotaxis–haptotaxis model
• Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
• Finite-time blow-up in a degenerate chemotaxis system with flux limitation
• A Chemotaxis System with Logistic Source

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