Global strong solution and periodic dynamic behavior to Chaplain-Lolas model

DOI10.1007/S10884-022-10210-WMaRDI QIDQ6612565

Chunhua Jin

Publication date: 1 October 2024

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

stabilityglobal strong solutiontime periodic solutionChaplain-Lolas modelECM remodelling

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell movement (chemotaxis, etc.) (92C17) Pathology, pathophysiology (92C32)

Cites Work

• Global existence of a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
• A note on the existence of periodic solutions of the Navier-Stokes equations
• Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
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• Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
• Global classical solution and boundedness to a chemotaxis-haptotaxis model with re-establishment mechanisms
• Global boundedness of solutions to a chemotaxis–haptotaxis model with tissue remodeling
• CONVERGENCE OF A CANCER INVASION MODEL TO A LOGISTIC CHEMOTAXIS MODEL
• Global existence and large time behavior of solutions to a haptotaxis model with self-remodeling mechanisms
• Global solvability and stabilization to a cancer invasion model with remodelling of ECM
• Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model
• Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
• MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
• Large time behavior of solution to a fully parabolic chemotaxis-haptotaxis model in higher dimensions

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