具有间接信号生成和一般Logistic源的趋化模型解的整体有界性

Global Boundedness of Solutions to a Chemotaxis Model with Indirect Signal Generation and General Logistic Sources

在齐次Neumann边界条件下的光滑有界区域中,讨论了一类具有非线性扩散系数、非线性趋化敏感函数、间接信号产生和一般Logistic源的趋化模型解的适定性,严格证明了该模型经典解整体有界.

In this paper,we discuss the well-posedness of solutions for a chemotaxis model with nonlinear diffusion coefficients,nonlinear chemotaxis sensitivity functions,indirect signal production,and general logistic sources in smooth bounded domain under homogeneous Neumann boundary conditions,it is shown that the classical solution of the model is globally bounded.