School of Mathematical Sciences Chongqing Normal University Chongqing 400047 China;
SUSTech International Center for Mathematics Southern University of Science and Technology Shenzhen 518055 Guangdong China;
College of Mathematical Sciences Harbin Engineering University Harbin 150001 Heilongjiang China;
Department of Mathematics Tulane University New Orleans LA 70118 USA;
Balance laws; chemotaxis; initial-boundary value problem; dynamic boundary condition; strong solution; long-time behavior; diffusivity limit;