Boundedness in a two-species chemotaxis-consumption system with nonlinear diffusion and sensitivity

被引:1
|
作者
Zhang, Jing [1 ]
Hu, Xuegang [1 ]
机构
[1] Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing, Peoples R China
关键词
Two-species chemotaxis system; boundedness; global existence; KELLER-SEGEL SYSTEM; GLOBAL EXISTENCE; DECAYING DIFFUSIVITY; CLASSICAL-SOLUTIONS; STOKES SYSTEM; STABILIZATION; MODEL; CHEMOATTRACTANT;
D O I
10.1080/00036811.2020.1721478
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with the following two-species chemotaxis system with homogeneous Neumann boundary conditions and suitable initial conditions, where () is a bounded and smooth domain. Moreover, the parameters , and . For i = 1, 2, we assume that where , , and . Then if one of the following cases holds: ; and is sufficiently large, it is proved that the system possesses a unique global bounded classical solution.
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页码:3530 / 3545
页数:16
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