一类趋化性模型非平凡单调平衡解的存在性

The Existence of Nontrivial Monotone Steady States for a Chemotaxis Model

针对一个源于Keller-Segel模型的趋化模型,主要研究其具有单调性、非常数平衡解的存在性。应用全局分岔理论的方法,通过详细的先验估计和计算,证明了在1维空间中,细胞总量任意固定的条件下,趋化模型的单调非常数平衡解的存在性。

For a chemotaxis model which is a variant of Keller-Segel model,the existence of nonconstant monotone steady states is studied.Applying the method of bifurcation theory,by detailed priori estimates and computation,the existence of nonconstant monotone steady states in 1 spatial dimension is proved on the condition of arbitrarily fixed total cell mass.