In this paper, we consider a class of chemotaxis models with two arbitrary constitutive functions g(u) and f(v). After having performed a complete symmetry group classification with respect to them the reduced systems are derived. By considering g(u) of the logistic form, wide classes of exact solutions are found.

中文翻译：

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抛物线趋化系统的对称性和特殊解

在本文中，我们考虑一类具有两个任意本构函数g（u）和f（v）的趋化模型。在对它们执行了完整的对称组分类之后，得出了简化的系统。通过考虑逻辑形式的g（u），可以找到大类的精确解。