带两个趋化参数的趋化性模型的非常数平衡解的存在性

On Existence of Non-constant Steady States of a Chemotaxis Model with Two Sensitive Coefficients

研究带两个趋化性参数的趋化性模型的平衡解的存在性.利用局部分岔理论得到该趋化模型存在无穷多个非常数正平衡解.

Chemotaxis is the oriented movement of cells in response to the concentration gradient of chemi ‐cal substances in their environment .The existence of the steady solutions of a chemotaxis model with two sensitive coefficients has mainly been studied in this paper .By applying local bifurcation theory to this model ,it is concluded that there exist infinite non‐constant steady states .