具间接信号及逻辑源的拟线性趋化模型的全局有界性

Global Boundedness of the Quasilinear Chemotaxis Model with Indirect Signals and Logical Sources

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.