Do some chemotaxis-growth models possess Lyapunov functionals?

DOI10.1016/j.aml.2015.10.007zbMath1353.35065OpenAlexW1850406219MaRDI QIDQ899407

Dirk Horstmann

Publication date: 28 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.10.007

zbMATH Keywords

cross-diffusion systemsOthmer-Stevens modelnon-diffusive chemotactic signalsnon-diffusive memory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Second-order parabolic systems (35K40)

Related Items

On a parabolic-elliptic system with chemotaxis and logistic type growth

Cites Work

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• Behavior of the solutions to an othmer-stevens chemotaxis model with reproduction term
• Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
• Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
• Lyapunov functions and L^p-estimates for a class of reaction-diffusion systems

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