Qualitative Analysis Of A Parabolic-elliptic Attraction-repulsion Chemotaxis Model

This paper deals with the parabolic-elliptic attraction-repulsion chemotaxis system t = ?u-(?)·(?u(?)v)+(?)·(??(?)w),x ??,t>0,0 = ?v+?u-?v,x??,t>0,wt = ?w + ?u-?w,x ??,t>0,under homogeneous Neumann boundary conditions where ? is a bounded domain in R2 with smooth boundary(?)?,?>0,?>0,?>0,?>0,?>0.By establishing appropriate entropy inequality and employing Lp-estimate method,the generalized Gagliardo-Nirenberg inequality and the Moser iteration technique,we prove that the model possesses a unique global solution provided the initial cell mass satisfies the condition that ?u0?L1(?)?4/??CNG.