摘要
针对一类具间接信号及逻辑源的拟线性趋化模型,在初始条件、扩散系数、趋化敏感度和逻辑源等参数满足相关条件下,利用Young’s不等式、Gagliardo-Nirenberg不等式、Neumann热半群估计和常数变易法,证明了该模型的解具有全局有界性。
For a class of quasilinear chemotaxis models with indirect signals and logical sources,the solution is globally bounded using Young′s inequality,Gagliardo-Nirenberg inequality,Neumann thermal semigroup estimation and constant commutation method when the initial data,diffusion coefficient,chemotaxis sensitivity and logical source satisfy the relevant conditions.
作者
江利情
蒋敏
JIANG Liqing;JIANG Min(School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)
出处
《海南热带海洋学院学报》
2023年第2期109-114,128,共7页
Journal of Hainan Tropical Ocean University
基金
贵州省教育厅青年科技人才成长项目(ky[2017]133)。
关键词
趋化模型
间接信号
逻辑源
全局有界性
chemotaxis model
indirect signal
logical source
global boundedness