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This is a Quantitative Study study.

October 2, 2025

Global boundedness of a fully parabolic chemotaxis-haptotaxis model with non-local logistic source terms

Puntos clave

The study proves that the chemotaxis-haptotaxis model maintains global boundedness over time.
A globally bounded classical solution exists, preventing blow-ups during the process.
This work extends previous findings by introducing non-local logistic source terms into the model.
The model operates in a bounded domain characterized by a smooth boundary.

Resumen

In this paper, a fully parabolic chemotaxis-haptotaxis model with non-local logistic source terms is considered in a bounded domain with a smooth boundary. We prove that the system has a globally bounded classical solution, which means that the solution will not blow up over time. Our results extend previous work in Ren, Nonlinear Differ. Equations Appl. 31(2), 17 (2024).

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