Global Existence Of Solutions To A Singular Chemotaxis Consumption Model

Chemotaxis-consumption model describes the chemotaxis phenomena of the evolution process of biological organism.The study of this model possesses important theoretical significance and realistic effect.This thesis considers the following chemotaxis-consumption model with the homogeneous Neumann boundary conditions:with ?(v)=?/(?+?)?,?,?,r,?>0,a>0.??Rn(n?2)is a bounded smooth domain.The section 1 of this thesis includes the backgrounds and the development situations of the model.The sections 2 and 3 prove the global boundedness and global existence of the classical solutions to the system for the case of a>0 and a=0 respectively.