具有间接信号消耗的拟线性趋化模型解的稳定性研究

Study on the Stability of Solution of Quasilinear Chemotaxis Model with Indirect Signal Consumption

考虑具有间接信号消耗且带有非线性扩散系数和非线性趋化敏感函数的拟线性生物趋化模型,通过构造合适的能量泛函来研究该模型在Neumann边界条件下解的大时间行为,并将二维空间的特殊情形下解的大时间行为的结果推广到高维空间的一般情形.

In this paper,we deal with the quasilinear chemotaxis model with nonlinear diffusion coefficient and nonlinear sensitivity function and indirect signal consumption.By constructing suitable energy functional,we study the large time behavior of the solutions to model under Neumann boundary conditions.This current result extends some well-known results of two-dimensional space.