Global boundedness in a quasilinear attraction–repulsion chemotaxis model with nonlinear sensitivity
Global boundedness in a quasilinear attraction–repulsion chemotaxis model with nonlinear sensitivity
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DOI：
10.1016/j.jmaa.2016.04.049
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发表时间：
2016-10
影响因子：
1.3
通讯作者：
Sainan Wu;Boying Wu
中科院分区：
文献类型：
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作者：
Sainan Wu;Boying Wu
本文研究光滑、有界、凸区域上具有齐次Neumann边界条件的吸引-排斥趋化模型。在该模型中，当标度常数为0且趋化敏感性函数为非线性时，在一定的假设条件下，证明了该系统存在唯一的一致有界全局经典解;当标度常数为1且其中一个趋化敏感性函数为非线性时，在一定的假设条件下，证明了该系统存在唯一的有界全局经典解.
This paper considers the attraction–repulsion chemotaxis model with homogeneous Neumann boundary conditions in a smooth, bounded, convex domain. In this model, when the scaling constant is zero and the chemotactic sensitivity functions are nonlinear, we prove that this system possesses a unique global classical solution that is uniformly bounded under some assumptions; when the scaling constant is one and one of the chemotactic sensitivity functions is nonlinear, we also obtain a unique bounded global classical solution under some assumptions.