Analysis shows global bounded solutions in a chemotaxis-haptotaxis model with non-local logistics, indicating strong stability.
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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Deng et al. (2025) studied this question.
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