The aim of this paper is to analyze a model for chemotaxis based on a local sensing mechanism instead of the gradient sensing mechanism used in the celebrated minimal Keller–Segel model. The model we study has the same entropy as the minimal Keller–Segel model, but a different dynamics to minimize this entropy. Consequently, the conditions on the mass for the existence of stationary solutions or blow-up are the same; however, we make the interesting observation that with the local sensing mechanism the blow-up in the case of supercritical mass is delayed to infinite time.

中文翻译：

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具有局部传感的趋化性模型的延迟爆破

本文的目的是分析基于局部传感机制而不是著名的最小 Keller-Segel 模型中使用的梯度传感机制的趋化性模型。我们研究的模型与最小 Keller-Segel 模型具有相同的熵，但使用不同的动力学来最小化该熵。因此，存在静止溶液或爆炸的质量条件是相同的；然而，我们进行了有趣的观察，即通过局部传感机制，超临界质量情况下的爆炸被延迟到无限时间。