...niversity of Victoria) Dr. Martial Agueh, Departmental Member (Department of Mathematics and Statistics, University of Victoria) ABSTRACT We elaborate upon the Herty-Illner macroscopic traffic models =-=[1, 2, 3]-=- which include special non-local forces. The first chapter presents these in relation to the traffic models of Aw-Rascle [4] and Zhang [5], arguing that non-local forces are necessary for a realistic ...