Persistence property in a two-species chemotaxis system with two signals
Persistence property in a two-species chemotaxis system with two signals
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DOI：
10.1063/1.5010681
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发表时间：
2017-11
影响因子：
1.3
通讯作者：
Pan Zheng;Chunlai Mu;Xuegang Hu
中科院分区：
文献类型：
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作者：
Pan Zheng;Chunlai Mu;Xuegang Hu
在有界凸域上，研究了具有非负初始数据的齐次Neumann边界条件下具有两种不同信号的两种趋化系统。该系统将经典的Keller-Segel趋化性模型推广到两个物种被两种不同的化学信号吸引的情况。在适当的条件下，证明了对于任意非负的全局经典解，两个物种的质量在任何时候都不绝灭。
This paper deals with a two-species chemotaxis system with two different signals under homogeneous Neumann boundary conditions in a bounded convex domain with the non-negative initial data. This system is a generalization of the classical Keller-Segel chemotaxis models to the case of two species which are attracted by two different chemical signals. Under suitable conditions, it is proved that for any non-negative global classical solutions, the masses of two species do not extinct at any time.