Boundedness and stabilization in the 3D minimal attraction–repulsion chemotaxis model with logistic source
Boundedness and stabilization in the 3D minimal attraction–repulsion chemotaxis model with logistic source
复制标题
DOI：
10.1007/s00033-022-01694-z
复制
发表时间：
2022-02
期刊：
影响因子：
--
通讯作者：
Guoqiang Ren;Bin Liu
中科院分区：
文献类型：
--
作者：
Guoqiang Ren;Bin Liu
在本文中，我们考虑具有光滑边界的三维有界域中具有逻辑源的完全抛物线吸引-排斥趋化系统。我们首先推导出逻辑阻尼率的显式公式，使得系统无论何时都不会发生爆炸。此外，还讨论了解的渐近行为；我们得到了逻辑阻尼率的另一个显式公式，以便无论何时收敛率都可以显式地表达。我们的结果概括并改进了部分先前已知的结果。
In this paper, we consider the fully parabolic attraction–repulsion chemotaxis system with logistic source in a three-dimensional bounded domain with smooth boundary. We first derive an explicit formulafor the logistic damping ratesuch that the system has no blowups whenever. In addition, the asymptotic behavior of the solutions is discussed; we obtain the other explicit formulafor the logistic damping rate so that the convergence rate is expressed explicitly whenever. Our results generalize and improve partial previously known ones.