In this paper, we study Keller–Segel type chemotaxis systems with power-like nonlinear sensitivity, production of signals, and switching chemotaxis mechanism. We establish explicit relations to ensure local- and global-in-time boundedness of classical solutions. In the chemo-attractive setting, our results cover and unify separate cases and they are critical to the quite known blow-up results in the existing literature, while, in the chemo-repulsive setting, we find that much wider regimes compared to the attraction case can ensure global existence and boundedness. In comparison to the known results on the dichotomy between global solvability and blow-up for the associated chemo-attraction system, our findings reveal that the strong damping effect of chemo-repulsion prevents blow-up. Furthermore, our 3D local-in-time boundedness moves one step further toward the yet-to-be-proven popular saying that no blow-up would occur in the 3D minimal chemo-repulsion model.

中文翻译：

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强大的化学排斥阻尼作用可防止爆炸

在本文中，我们研究具有功率似非线性灵敏度，信号产生和切换趋化机理的Keller-Segel型趋化系统。我们建立明确的关系，以确保经典解决方案的本地和全局时间范围内的有界性。在化学吸引环境中，我们的结果涵盖并统一了单独的案例，对于现有文献中众所周知的爆炸结果至关重要，而在化学排斥环境中，与吸引相比，我们发现了更广泛的治疗方案案件可以确保全球存在和边界。与已知的相关化学吸引系统在整体溶解性和爆炸作用之间二分法上的已知结果相比，我们的发现表明，化学排斥作用的强大阻尼作用可以防止爆炸作用。此外，