一类具有信号回路的趋化性模型解的存在性
Existence of Solutions for a Kind of Chemotaxis Model with Signal Loop
-
摘要: 利用不动点理论、能量估计以及熵函数不等式,对一类具有信号回路的趋化模型进行研究,证明在二维有界区域上具有齐次Neumann边值条件的该模型在初始值适当小的条件之下解的全局存在性和一致有界性。Abstract: In this paper, a chemotaxis model with signal loop is studied. The global existence and uniform boundedness of solutions with homogeneous Neumann boundary conditions in two-dimensional bounded domain are proved by using fixed point theory, energy estimation and inequality of entropy function.