On a fully parabolic chemotaxis system with Lotka-Volterra competitive kinetics
On a fully parabolic chemotaxis system with Lotka-Volterra competitive kinetics
复制标题
具有 Lotka-Volterra 竞争动力学的全抛物线趋化系统
DOI：
10.1016/j.jmaa.2018.10.093
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发表时间：
2019
影响因子：
1.3
通讯作者：
Yilong Wang
中科院分区：
文献类型：
--
作者：
Xie Li;Yilong Wang
本文致力于以下完全抛物线趋化作用与生态系统竞争动力学{u t =Δ−1χ∇⋅(u∇w) +μ1 u(1−−1 u v), x∈Ω,t > 0, v t =Δ−χ2∇⋅(v∇w) +μ2 v v(1−−2 u), x∈Ω,t > 0, w t =Δw−λw + 1 u + b 2 v、x∈Ω,t > 0,均匀诺伊曼边界条件下,在Ω⊂R n是一个有限域具有光滑边界。我们主要考虑了三维情况下经典解的全局存在性和有界性，扩展并部分改进了Bai-Winkler(2016)[1]、Xiang(2018)[25]和Lin-Mu-Wang(2015)[10]等人的结果。
This paper is devoted to the following fully parabolic chemotaxis system with Lotka–Volterra competitive kinetics {u t= Δ u− χ 1∇⋅(u∇ w)+ μ 1 u (1− u− a 1 v), x∈ Ω, t> 0, v t= Δ v− χ 2∇⋅(v∇ w)+ μ 2 v (1− v− a 2 u), x∈ Ω, t> 0, w t= Δ w− λ w+ b 1 u+ b 2 v, x∈ Ω, t> 0, under homogeneous Neumann boundary conditions, where Ω⊂ R n is a bounded domain with smooth boundary. We mainly consider the global existence and boundedness of classical solutions in the three dimensional case, which extends and partially improves the results of Bai–Winkler (2016)[1], Xiang (2018)[25], as well as Lin–Mu–Wang (2015)[10], etc.