In this work, we consider the quasilinear attraction–repulsion chemotaxis model with nonlinear signal production and logistic-type source. We present the global existence of classical solutions under appropriate regularity assumptions on the initial data. In addition, the asymptotic behavior of the solutions is studied, and our results generalize and improve some well-known results in the literature.

中文翻译：

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具有非线性信号产生和逻辑型源的拟线性吸引-排斥趋化性模型中的全局有界性和渐近行为

在这项工作中，我们考虑了具有非线性信号产生和逻辑型源的拟线性吸引 - 排斥趋化模型。我们在初始数据的适当规律性假设下呈现经典解决方案的全局存在。此外，研究了解的渐近行为，我们的结果推广和改进了文献中的一些著名结果。