An attraction-repulsion chemotaxis system with logistic source
An attraction-repulsion chemotaxis system with logistic source
复制标题
具有逻辑源的吸引-排斥趋化系统
DOI：
10.1002/zamm.201400311
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发表时间：
2016
影响因子：
2.3
通讯作者：
Li Yuxiang
中科院分区：
文献类型：
--
作者：
Zhang Qingshan;Li Yuxiang
研究了光滑有界区域上齐次Neumann边界条件下具有Logistic源的吸引-排斥趋化系统.在Logistic源的增长约束和对正参数χ，α，β，γ和δ的适当假设下，证明了整体有界古典解的存在性.当Logistic阻尼效应较弱时，也构造了整体弱解。此外，我们还得到了Logistic源解的渐近性态。
This paper deals with the attraction‐repulsion chemotaxis system with logistic source under homogeneous Neumann boundary conditions in a smooth bounded domain . Under a growth restriction on logistic source and suitable assumptions on the positive parameters χ, ξ, α, β, γ and δ, we show the existence of global bounded classical solutions. The global weak solution is also constructed if the logistic damping effect is rather mild. Furthermore, we obtain the asymptotic behavior of solutions for the logistic source .