COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
An attraction-repulsion chemotaxis model with nonlinear chemotactic sensitivity functions and growth source is considered. The global-in-time existence and boundedness of solutions are proved under some conditions on the nonlinear sensitivity functions and growth source function. Our results improve the earlier ones for the linear sensitivity functions.
Wu, Sainan; Shi, Junping; and Wu, Boying, GLOBAL EXISTENCE OF SOLUTIONS TO AN ATTRACTION-REPULSION CHEMOTAXIS MODEL WITH GROWTH (2017). COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 16(3).